SR-281/282 Calculator Manual
SR-281/282 Calculator Manual
Scientific Calculator
                               General Guide.................................................................................... 2
                                 Turning on or off .............................................................................. 2
                                 Battery replacement......................................................................... 2
                                 Auto power-off function.................................................................... 2
                                 Reset operation ............................................................................... 2
                                 Contrast adjustment......................................................................... 3
                                 Display readout................................................................................ 3
                               Before Starting Calculation .............................................................. 4
                                 Using " MODE " keys....................................................................... 4
                                 Using " 2nd " Keys........................................................................... 4
                                 Corrections ...................................................................................... 4
                                 Undo function .................................................................................. 4
                                 Replay function................................................................................ 5
                                 Memory calculation.......................................................................... 5
                                 Order of operations.......................................................................... 6
                                 Accuracy and Capacity .................................................................... 7
                                 Error conditions ............................................................................... 9
                               Basic Calculations ............................................................................ 9
                                 Arithmetic calculation..................................................................... 10
                                 Parentheses calculations............................................................... 10
                                 Percentage calculation .................................................................. 11
                                 Display notations ........................................................................... 11
                               Scientific Functional Calculations ................................................. 13
                                 Logarithms and Antilogarithms ...................................................... 13
                                 Fraction calculation ....................................................................... 13
                                 Angle unit conversions .................................................................. 14
                                 Sexagesimal ↔ Decimal transformation........................................ 15
                                 Trigonometric / Inverse-Tri. functions ............................................ 15
                                 Hyperbolic / Inverse-Hyp. functions............................................... 16
                                 Coordinates transformation ........................................................... 16
                                 Probability...................................................................................... 17
                                                                                      2     3     y
                                 Other functions ( 1/x,            , 3 , X , x , x , x , INT, FRAC ) ........ 18
                                 Unit Conversion ............................................................................. 19
                                 Physics constants .......................................................................... 19
                               Base–n calculations........................................................................ 24
                                 Bases conversions ........................................................................ 25
                                 Block Function ............................................................................... 25
                                 Basic arithmetic operations for bases............................................ 27
                                 Negative expressions .................................................................... 27
                                 Logical operation ........................................................................... 27
                               Statistical Calculations ................................................................... 27
                                 Entering data ................................................................................. 28
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                                Displaying results .......................................................................... 28
                                Deleting data ................................................................................. 31
                                Editing data.................................................................................... 32
                                FULL message............................................................................... 32
                               Complex Calculations..................................................................... 33
General Guide
                               Turning on or off
                               To turn the calculator on, press [ ON/C ] ; To turn the calculator off,
                               press [ 2nd ] [ OFF ].
                               Battery replacement
                               SR-281 is powered by two alkaline batteries (GP76A or LR44).
                               SR-282 is powered two AA-size ( UM-3 ) batteries. If the display
                               becomes dim and difficult to read, the batteries should be replaced as
                               soon as possible.
                               To replace batteries :
                               1)    Slide the battery compartment cover in the direction indicated by
                                     the arrow and remove it.
                               2)    Remove the old batteries and install new ones with polarity in
                                     correct directions, then replace the battery compartment cover
                                     and press [ ON/C ].
                               Auto power-off function
                               This calculator automatically turns it off when not operated for
                               approximately 6~9 minutes. It can be reactivated by pressing [ ON/C ]
                               key and the display, memory, settings are retained.
                               Reset operation
                               If the calculator is on but you get unexpected results, press [ MODE ]
                               [ 4 ] ( RESET ) in sequence. A message appears on the display to
                               confirm whether you want to reset the calculator and clear memory
                               contents.
RESET : N Y
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                               Contrast adjustment
                               Pressing the [ – ] or [ + ] following [ MODE ] key can make the contrast
                               of the screen lighter or darker. Holding either key down will make the
                               display become respectively lighter or darker.
                               Display readout
                               The display comprises two lines and indicators. The upper line is a dot
                               display up to 128 characters. The lower line is capable of displaying a
                               result of up to 12 digits, as well as 2-digits positive or negative
                               exponent.
                               When formulas are input and executed the calculation by [         ],
                               they are displayed on the upper line, and then results are shown on
                               the lower line.
                               The following indictors appear on the display to indicate you the
                               current status of the calculator.
                               Indicator             Meaning
                               M                     Running memory
                               –                     Result is negative
                               E                     Error
                               STO                   Storing variable mode is active
                               RCL                   Recalling variable mode is active
                               2nd                   2nd set of function keys are active
                               HYP                   Hyperbolic-trig function will be calculated
                               ENG                   Engineering symbol notation
                               CPLX                  Complex number mode is active
                               CONST                 Display physics constants
                               DEGRAD                Angle mode : DEGrees, GRADs, or RADs
                               BIN                   Binary base
                               OCT                   Octal base
                               HEX                   Hexadecimal base
                               ( )                   Open parentheses
                               TAB                   Number of decimal places displayed is fixed
                               STAT                  Statistics mode is active
                               REG                   Regression mode is active
                               EDIT                  Statistics data is being edited
                               CPK                   CPK : Process capability
                                                     CP : Precision capability
                               USL                   Set upper specification limit
                               LSL                   Setting lower specification limit
                               i                     Imaginary part
                                                     Allow to use undo function
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                                     Before Starting Calculation
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                               When a character which is just deleted by [       ], an entry which is just
                               cleared [ CE ], or which is just cleared by [ ON/C ], the "    " indicator
                               shown in the display is to tell you that you can press [ 2nd ] [        ] to
                               cancel the operation.
                               Replay function
                               This function stores operations that just have been executed. After
                               execution is completed, pressing [         ] or [ 2nd ] [       ] key will
                               display the operation executed. Pressing [             ] will display the
                               operation from the beginning, with the cursor located under the first
                               character. Pressing [ 2nd ] [     ] will display the operation from the
                               end, with the cursor located at the space following the last character.
                               You can continue moving the cursor by [          ] or [ 2nd ] [     ] and
                               editing values or commands for subsequent execution.
                               Memory calculation
                               Memory variable
                               The calculator has nine memory variables for repeated use -- A, B, C,
                               D, E, F, M, X, Y. You can store a real number in any of the nine
                               memory variables.
                               •     [ STO ] + [ A ] ~ [ F ], [ M ], [ X ] ~ [ Y ] lets you store values to
                                     variables.
                               •     [ RCL ] + [ A ] ~ [ F ], [ M ], [ X ] ~ [ Y ] recalls the value of the
                                     variable.
                               •     [ 0 ] [ STO ] + [ A ] ~ [ F ], [ M ], [ X ] ~ [ Y ] clears the content to a
                                     specified memory variable.
                               ¾(1) Put the value 30 into variable A
                                                                                         DEG
                                    30 [ STO ] [ A ]
                                                                               3 0 ÆA
                                                                                                     30.
                                                                               5 ¼A =
                                                                                                   150.
                                                                                         DEG
                                    [ STO ] [ B ]
                                                                               1 5 0 ÆB
                                                                                                   150.
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                                    [ RCL ] [ B ] [          ]                                 DEG
                                                                                   B=
                                                                                                      0.
                               Running memory
                               You should keep the following rules in mind when using running
                               memory.
                               • Press [ M+ ] to add a result to running memory and the " M " indicator
                                 appears when a number is stored in the memory. Press [ MR ] to
                                 recall the content of running memory.
                               • Recalling from running memory by pressing [ MR ] key does not
                                 affect its contents .
                               • Running memory is not available when you are in statistics mode.
                               • The memory variable M and running memory utilize the same
                                 memory area.
                               • In order to replace the content of the memory with the displayed
                                 number, please press [ X M ] key.
                               • To clear the content of running memory, you can press [ 0 ] [ X M ],
                                 [ CE ] [ X M ] or [ 0 ] [ STO ] [ M ] in sequence.
                               ¾[ ( 3 x 5 ) + ( 56              7 ) + ( 74 – 8 x 7 ) ] = 41
                                    0[X M]                                                     DEG
0.
                                    3 [ x ] 5 [ M+ ] 56 [        ] 7 [ M+ ] 74                 DEG
                                    [ – ] 8 [ x ] 7 [ M+ ]                            7 4 – 8¼7 M+
                                                                                  M                  18.
[ MR ] DEG
                                                                                      M
                                                                                  M                  41.
0[X M] DEG
0.
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                               1)    Fractions
                               2)    Expression inside parentheses.
                               3)    Coordinates transformation ( P R , R P )
                               4)    Type A functions which are required entering values before
                                                                              2
                                     pressing the function key, for example, x ,1/x, Ӹ, x!, %, RND,
                                     ENG,          ,       , x ', y ' .
                                        y
                               5)    x ,    X
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                                    tanh x                   x < 1 x 10 100
                                    sinh –1 x                x < 5 x 10 99
                                    cosh –1 x              1 싪 x < 5 x 10 99
                                    tanh –1 x                x <1
                                    log x, ln x            1 x 10 –99 싪 x < 1 x 10 100
                                    10 x                   –1 x 10 100 < x < 100
                                    ex                     –1 x 10 100 < x 싪 230.2585092
                                         x                 0 싪 x < 1 x 10 100
                                    x2                       x < 1 x 10 50
                                    x3                       x < 2.15443469003 x 10 33
                                    1/x                      x < 1 x 10 100, x ≠ 0
                                     3
                                         x                   x < 1 x 10 100
                                    X!                     0 싪 x 싪 69, x is an integer.
                                  R P                                             100
                                                            x 2 + y 2 < 1 x 10
                                  P R                      0 싪 r < 1 x 10
                                                                            100
                                                           RadΚཎθ ཎ≠ π (2n+1)
                                                                     2
                                                           GradΚཎθ ཎ≠ 100 (2n+1), (n is an integer)
                                                           ཎDཎ, M, S < 1 x 10
                                                                                    100
                                                                                         , 0 싪 M, S
                                                             x < 1 x 10 100
                                    xy                     x > 0 : –1 x 10100 < y log x < 100
                                                           x=0:y>0
                                                           x < 0 : y = n, 1/(2n+1), n is an integer.
                                                           but –1 x 10100 < y log ཎxཎ < 100
                                     x   y                                       100  1
                                                           y > 0 : x ≠ 0, –1 x 10 <     log y < 100
                                                                                      x
                                                            y=0:x>0
                                                           y < 0 : x=2n+1, l/n, n is an integer.(n≠0)
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                                                                                        1
                                                                                          log ཎyཎ< 100
                                                                         100
                                                           but –1 x 10         <
                                                                                        x
                                    a b/c                  InputΚTotal of integer, numerator and
                                                           denominator must be within 12 digits
                                                           (includes division marks)
                                                           ResultΚResult displayed as fraction for
                                                           integer when integer, numerator and
                                                           denominator are less than 1 x 10 12
                                    nPr, nCr               0 싪 r 싪 n, n 싪10 100, n,r are integers.
                                                                               50                       50
                                    STAT                    x   < 1 x 10            ,    y   < 1 x 10
                                                           Ӻx,Ӻy, x , y ,a, b, r : n ≠ 0 ;
                                                           Sx, SyΚn ≠ 0, 1 ; x n = 50 ; y n = 50 ;
                                                           Number of repeats  255, n is an integer.
                                       DEC                 – 2147483648 싪 X 싪 2147483647
                                       BIN                 0 싪 X 싪 01111111111111111111111111111111
                                                           (for zero or positive)
                                                           10000000000000000000000000000000 싪
                                                           X 싪11111111111111111111111111111111
                                                           (for negative)
                                       OCT                 0 싪 X 싪 17777777777 (for zero or positive)
                                                           20000000000 싪 X 싪 37777777777
                                                           (for negative)
                                       HEX                 0 싪 X 싪 7FFFFFFF ( for zero or positive)
                                                           80000000 싪 X 싪 FFFFFFFF (for negative)
                               Error conditions
                               Error message “ E ” will appear on the display and further calculation
                               becomes impossible when any of the following condition occur.
                               1)    You attempted to divide by 0
                               2)    When allowable input range of function calculations exceeds the
                                     range specified
                               3)    When result of function calculations exceeds the range specified
                               4)    When the [ ( ] key is used more than 13 levels in a single
                                     expression
                               5)    When USL < LSL value
                               To release the above errors, please press [ ON/C ].
                                     Basic Calculations
                               Use MAIN ( [ MODE ] 1 ( MAIN ) ) mode for basic calculations.
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                               Arithmetic calculation
                               Arithmetic operations are performed by pressing the keys in the same
                               sequence as in the expression.
                               ¾7 + 5 x 4 = 27
                                    7[+]5[x]4[                 ]                                DEG
                                                                                    7 + 5¼4 =
                                                                                                           2 7.
                               For negative values, press [ +/– ] after entering the value; You can
                               enter a number in mantissa and exponent form by [ EXP ] key.
                               ¾2.75 x 10 – 5 = 0.0000275
                                    2.75 [ EXP ] 5 [ +/– ] [            ]                       DEG
                                                                                    2 . 7 5E–05=
                                                                                               0.0 0 0 0 2 7 5
                                                               12                     –11
                               Results greater than 10              or less than 10         are displayed in
                               exponential form.
                               ¾12369 x 7532 x 74103 =126903680612720
                                     = 6.90368061272 x 10
                                                                                                DEG
                                    12369 [ x ] 7532 [ x ] 74103
                                    [       ]                                       1 2 3 6 9¼7 5 3 2¼7           12
                                                                                    6.9 0 3 6 8 0 6 1 2 7 2
                               Parentheses calculations
                               Operations inside parentheses are always executed first. SR-281 /
                               SR-282 can use up to 13 levels of consecutive parentheses in a single
                               calculation.
                               Closed parentheses occurring immediately before operation of the [ ) ]
                               key may be omitted, no matter how many are required.
                               ¾2 x { 7 + 6 x ( 5 + 4 ) } = 122
                                  2[(]7[+]6[(]5[+]4[                          ]                 DEG
                                                                                    2¼ ( 7 + 6¼ ( 5 + 4 =
                                                                                                         122.
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                               ¾( 2 + 3 ) x 10 2 = 500
                                                                                               DEG
                                    [ ( ] 2 [ + ] 3 [ ) ] [ x ] [ EXP ] 2
                                    [          ]                                    ( 2 + 3 ) ¼1 E 0 2 =
                                                                                                        50 0.
                               Percentage calculation
                               [ 2nd ] [ % ] divides the number in the display by 100. You can use this
                               key sequence to calculate percentages, add-ons, discounts, and
                               percentage ratios.
                               ¾120 x 30 % = 36
                                    120 [ x ] 30 [ 2nd ] [ % ] [             ]                 DEG
                                                                                    1 2 0¼3 0%=
                                                                                                          36.
                               ¾88           55 % = 160
                                    88 [      ] 55 [ 2nd ] [ % ] [           ]                 DEG
                                                                                    88    5 5%=
                                                                                                        160.
                               Display notations
                               The calculator has the following display notations for the display value.
                               Fixed-point / Floating Notations
                               To specify the number of decimal places, press [ 2nd ] [ TAB ] and then
                               a value indicating the number of places ( 0~9 ). Values are displayed
                               rounded off to the place specified. To return floating setting, press
                               [ 2nd ] [ TAB ] [ • ].
                               Scientific Notation
                               To change the display mode between floating and scientific notation,
                               press [ F↔E ].
                               Engineering Notation
                               Pressing [ ENG ] or [ 2nd ] [   ] will cause the exponent display for
                               the number being displayed to change in multiples of 3.
                               ¾6          7 = 0.85714285714…
                                    6[      ]7[            ]                                   DEG
                                                                                    6    7 =
                                                                                    0.8 5 7 1 4 2 8 5 7 1 4
                                                                                               DEG         TAB
                                    [ 2nd ] [ TAB ] 4
                                                                                    6    7 =
                                                                                                     0.8 5 7 1
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                                                                                                                         DEG         TAB
                                        [ 2nd ] [ TAB ] 2
                                                                                                           6       7 =
                                                                                                                                0.8 6
                                                                                                                         DEG
                                        [ 2nd ] [ TAB ] [ • ]
                                                                                                           6       7 =
                                                                                                           0.8 5 7 1 4 2 8 5 7 1 4
[ F↔E ] DEG
                                                                                                           6       7 =
                                                                                                           8.5 7 1 4 2 8 5 7 1 4 3
                                                                                                                         DEG
                                        [ ENG ]
                                                                                                                                           –03
                                                                                                           857. 1 4 2 8 5 7 1 4 3
                                                                                                                         DEG
                                        [ 2nd ] [             ] [ 2nd ] [             ]
                                                                                                                                            03
                                                                                                           0.0 0 0 8 5 7 1 4 2 8 5
0.
                                                                                                           6       7 =               m
                                                                                                           8 5 7. 1 4 2 8 5 7 1 4 3
                                                                                                            ENG          DEG
                                        [ ENG ]
                                                                                                                                      µ
                                                                                                           8 5 7 1 42. 8 5 7 1 4 3
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                                                                                     ENG     DEG
                                    [ 2nd ] [        ] [ 2nd ] [    ] [ 2nd ]
                                    [     ]                                                                   K
                                                                                    0.0 0 0 8 5 7 1 4 2 8 5
                                                                                    l n7+ l og100
                                                                                    3.9 4 5 9 1 0 1 4 9 0 6
                               ¾10 2 + e –5 = 100.006737947
                                    [ 2nd ] [ 10 X ] 2 [ + ] [ 2nd ] [ e X ] 5               DEG
                                    [+/–][             ]                            10 ^ 2 + e ^ – 5 =
                                                                                    1 0 0.0 0 6 7 3 7 9 4 7
                               Fraction calculation
                               Fraction value display is as follow :
                                                                5                                              5
                                  5 ω12         Display of                  56 Ж 5 ω12 Display of 56
                                                               12                                             12
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                               [ d/e ], the displayed value will be converted to the improper fraction
                               and vice versa. To convert between a decimal and fractional result,
                               press [ a b/c ].
                                        2        1              9
                               ¾4 4 = 4 2 = 4.5 = 2
                                                                                              DEG
                                    4 [ a b /c ] 2 [ a b /c ] 4 [         ]
                                                                                      4   2   4 =
                                                                                                    4     1    2.
                                                                                              DEG
                                    [ a b /c ]
                                                                                      4   2   4 =
                                                                                                              4.5
                                                     d /e ]                                   DEG
                                    [ 2nd ] [
                                                                                      4   2   4 =
                                                                                                          9    2.
                                                     d /e ]                                   DEG
                                    [ 2nd ] [
                                                                                      4   2   4=
                                                                                                    4    1     2.
0.
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                                                                                                             RAD
                                    90 [ 2nd ] [ DRG                ]
                                                                                                O
                                                                                          9 0       =
                                                                                          1.5 7 0 7 9 6 3 2 6 7 9
                                                                                                             GRAD
                                    [ 2nd ] [ DRG           ]
                                                                                          1 . 5 707963267
                                                                                                                        100.
                               ¾12.755 = 12  45 l 18 l l
                                                                                                        DEG
                                  12.755 [ 2nd ] [                      ]
                                                                                                                   l        ll
                                                                                                    12       45         18
2.7 5 2 9 1 6 6 6 6 6 7
                                                                                          s i n30=
                                                                                                                         0.5
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                                                2
                               ¾3 cos ( 3 π          rad) = – 1.5
                                    3[           ]                                        3 ¼ c o s ( 2 ¼π       3=
                                                                                                               – 1.5
                                                                                          3 ¼ s i n –1 0 . 5 =
                                                                                                                 90 .
                               ¾sinh –1 7 = 2.64412076106
                                                                     –1                            DEG
                                    [ 2nd ] [ HYP ] [ 2nd ] [ sin         ]7
                                                                                                    –1
                                    [         ]                                           s i nh1        7=
                                                                                          2.6 4 4 1 2 0 7 6 1 0 6
                               Coordinates transformation
                               Rectangular Coordinates                                Polar Coordinates
                                                             x + y i = r (cosӰ+ i sinӰ)
                               (Note) : When using those key, make sure the calculator is set for the
                                        angle unit you want.
                               The calculator can perform the conversion between rectangular
                               coordinates and polar coordinates by [ 2nd ] [ P R ] and [ 2nd ]
                               [ R P ].
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                               ¾
                                If x = 5, y = 30,
                                               o
                                                              what are r,       ? Ans : r = 30.4138126515,        =
                                          80.537677792
                                      [ 2nd ] [ R P ] 5 [ 2nd ] [        ] 30                  DEG        ( )
                                                                                    R     P( 5 ,
                                                                                                          30
[ ] DEG
                                                                                    r
                                                                                    30. 4 1 3 8 1 2 6 5 1 5
[ 2nd ] [ x ↔y ] DEG
                                                                                    θ
                                                                                        8 0. 5 3 7 6 7 7 7 9 2
                               ¾
                                If r = 25,          = 56
                                                              o
                                                                  what are x, y ? Ans : x = 13.9798225868, y =
                                          20.7259393139
                                                                                                DEG        ( )
                                  [ 2nd ] [ P R ] 25 [ 2nd ] [           ] 56
                                                                                    P      R ( 2 5 ,
                                                                                                            5 6
[ ] DEG
                                                                                    X
                                                                                    13. 9 7 9 8 2 2 5 8 6 8
[ 2nd ] [ x ↔y ] DEG
                                                                                    Y
                                                                                    20.72 5 9 3 9 3 1 3 9
                               Probability
                               This calculator provides the following probability functions :
                               [ nPr ] Calculates the number of possible permutations of n item
                                       taken r at a time.
                               [ nCr ] Calculates the number of possible combinations of n items
                                       taken r at a time.
                               [ X! ]  Calculates the factorial of a specified positive integer n,
                                       where nЉ69.
                               [ RND ] Generates a random number between 0.000 and 0.999
                                       7!
                               ¾[ ( 7 − 4 ) ] ! = 840
                                      7 [ 2nd ] [ nPr ] 4 [          ]                         DEG
                                                                                    7P4 =
                                                                                                        840.
                                              7!
                               ¾4 ! [ ( 7 − 4 ) ] ! = 35
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                                    7 [ 2nd ] [ nCr ] 4 [            ]                                             DEG
                                                                                                 7C4 =
                                                                                                                                      35.
                               ¾5 ! = 120
                                    5 [ 2nd ] [ X ! ] [          ]                                                 DEG
                                                                                                 5 !
                                                                                                                                     120.
                                    2 [ x 2 ] [ + ] [ Ѕ ] [ ( ] 4 [ + ] 21 [ ) ]                                   DEG
                                                                                                      2
                                    [ + ] [ 2nd ] [ 3 ] 125 [ + ] 5 [ 2nd ]                      2        +Ѕ ( 4 + 2 1 ) +
                                    [x3][              ]                                                                             1 39 .
                                                                                                     I NT ( 1 0                8=
                                                                                                                                        1.
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                               ¾FRAC ( 10                 8 ) = FRAC ( 1.25 ) = 0.25
                                        [ 2nd ] [ FRAC ] 10 [    ]8[        ]                   DEG
                                                                                 FRAC ( 1 0             8=
                                                                                                            0.2 5
                               Unit Conversion
                               The calculator has a built-in unit conversion feature that enables you
                               to convert numbers among different units.
                               1.        Enter the number you want to convert.
                               2.        Press [ CONV ] to display the menu. There are 7 menus, covering
                                         distance, area, temperature, capacity, weight, energy, and
                                         pressure.
                               3.        Use the [ CONV ] to scroll through the list of units until a
                                         appropriate units menu is shown, then [          ].
                               4.        Pressing [     ] or [ 2nd ] [   ] can convert the number to
                                         another unit.
                               ¾1 y d 2 = 9 f t 2 = 0.00000083612 km 2
                                                                                                DEG
                                    1 [ CONV ] [ CONV ] [          ][       ]
                                                                                            2           2        2
                                                                                    f t           y d        m
                                                                                                                     1.
                                                                                                DEG
                                    [ 2nd ] [       ]
                                                                                            2           2        2
                                                                                    f t           y d        m
                                                                                                                     9.
                                                                                                DEG
                                    [       ][     ][       ]
                                                                                        2
                                                                                 km             h e c t a r e s
                                                                                 0.0 0 0 0 0 0 8 3 6 1 2
                               Physics constants
                               You can use 136 physics constants in your calculations. With the
                               following constants :
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                                         Newtonian constant of                                             ȉ1       ȉ2
                                 5.                                      G        6.67310 x10 –11 m 3 kg        s
                                         gravitation
                                 6.      Planck constant                  K         6.6260687652 x10 –34 J s
                                 7.      Planck constant over 2 pi       h         1.05457159682 x10 –34 J s
                                 8.      Avogadro constant               NA       6.0221419947 x10 23 mol –1
                                 9.      Planck length                   lp               1.616012 x10 –35 m
                                 10.     Planck time                     tp                5.390640 x10 –44 s
                                 11.     Planck mass                     mp               2.176716 x10 –8 kg
                                 12.     Atomic mass constant            mµ          1.6605387313 x10 –27 kg
                                         Atomic mass constant
                                 13.                                    mµc 2         1.4924177812 x10 –10 J
                                         energy equivalent
                                 14.     Faraday constant                IF           96485.341539 C mol –1
                                 15.     Elementary charge                e         1.60217646263 x10 –19 C
                                         Electron volt–joule
                                 16.                                     eV          1.60217646263 x10 –19 J
                                         relationship
                                 17.     Elementary charge over h        e/h      2.41798949195 x10 14 AJ –1
                                 18.     Molar gas constant               R          8.31447215 J mol –1 K –1
                                 19.     Boltzmann constant               k        1.380650324 x10 –23 J K –1
                                 20.     Molar planck constant          NAh     3.99031268930x10–10Js mol–1
                                 21.     Sackur–Tetrode constant        S0 /R                ȉ1.164867844
                                         Wien displacement law
                                 22.                                      b          2.897768651 x10 –3 m K
                                         constant
                                         Lattice parameter of
                                 23.                                      a          543.10208816 x10 –12 m
                                         silicon
                                 24.     Stefan–Boltzmann constant        σ     5.67040040 x10 –8 W m –2 K –4
                                         Standard acceleration of
                                 25.                                      g                   9.80665 m s –2
                                         gravity
                                         Atomic mass
                                 26.                                      µ          1.6605387313 x10 –27 kg
                                         unit–kilogram relationship
                                 27.     First radiation constant        c1       3.7417710729 x10 –16 Wm 2
                                         First radiation constant for
                                 28.                                     c1L    1.19104272293x10–16Wm2sr–1
                                         spectral radiance
                                 29.     Second radiation constant       c2          1.438775225 x10 –2 m K
                                 30.     Molar volume of ideal gas       Vm     22.41399639 x10 –3 m 3 mol –1
                                 31.     Rydberg constant                R∞              10973731.5685 m –1
                                 32.     Rydberg constant in Hz         R∞ c        3.28984196037 x10 15 Hz
                                 33.     Rydberg constant in joules     R∞hc          2.1798719017 x10 –18 J
                                 34.     Hartree energy                  Eh           4.3597438134 x10 –18 J
                                 35.     Quantum of circulation         h/me    7.27389503253 x10 –4 m2 s –1
                                 36.     Fine structure constant          α            7.29735253327 x10 –3
                                 37.     Loschmidt constant              n0          2.686777547 x10 25 m –3
                                 38.     Bohr radius                     a0         0.52917720832 x10 –10 m
                                 39.     Magnetic flux quantum           Φʳ0      2.06783363681 x10 –15 Wb
                                 40.     Conductance quantum             G0          7.74809169628 x10 –5 S
                                         Inverse of conductance
                                 41.                                    G 0–1             12906.4037865 ͈
                                         quantum
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                                 42.     Josephson constant             KJ        483597.89819 x10 9 Hz V –1
                                 43.     Von Klitzing constant          RK               25812.8075730 ͈
                                 44.     Bohr magneton                  µB        927.40089937 x10 –26 J T –1
                                 45.     Bohr magneton in Hz/T         µB/h      13.9962462456 x10 9 Hz T –1
                                 46.     Bohr magneton in K/T          µB/k               0.671713112 K T –1
                                 47.     Nuclear magneton               µN        5.0507831720 x10 –27 J T –1
                                 48.     Nuclear magneton in MHz/T     µN/h           7.6225939631 MHz T –1
                                 49.     Nuclear magneton in K/T       µN/k         3.658263864 x10 –4 K T –1
                                 50.     Classical electron radius      re          2.81794028531 x10 –15 m
                                 51.     Electron mass                  me           9.1093818872 x10 –31 kg
                                         Electron mass energy          mec2
                                 52.                                                  8.1871041464 x10 –14 J
                                         equivalent
                                 53.     Electron–muon mass ratio      me/mµ            4.8363321015 x10 –3
                                 54.     Electron–tau mass ratio       me/mτ                2.8755547 x10 –4
                                         Electron–proton mass
                                 55.                                   me/mp           5.44617023212 x10 –4
                                         ratio
                                         Electron–neutron mass
                                 56.                                   me/mn           5.43867346212 x10 –4
                                         ratio
                                         Electron–deuteron mass
                                 57.                                   me/md            2.72443711706x10 –4
                                         ratio
                                         Electron charge to mass       ȉe/me    ȉ1.75882017471 x1011 Ckg –1
                                 58.
                                         quotient
                                 59.     Compton wavelength             λc          2.42631021518 x10 –12 m
                                         Compton wavelength
                                 60.                                    Ȝc          386.159264228 x10 –15 m
                                         over 2 pi
                                 61.     Thomson cross section          σe         0.66524585415 x10 –28 m2
                                         Electron magnetic                      ȉ928.47636237x10 –26 J T –1
                                 62.                                    µe
                                         moment
                                         Electron magnetic
                                 63.     moment to Bohr                µe/µB                ȉ1.00115965219
                                         magneton ratio
                                         Electron magnetic
                                 64.     moment to nuclear             µe/µN               ȉ1838.28196604
                                         magneton ratio
                                         Electron–muon magnetic
                                 65.                                   µe/µ µ                 206.766972063
                                         moment ratio
                                         Electron–proton magnetic                          ȉ658.210687566
                                 66.                                   µe/µp
                                         moment ratio
                                         Electron–neutron
                                 67.                                   µe/µn                    960.9205023
                                         magnetic moment ratio
                                         Electron–deuteron                                 ȉ2143.92349823
                                 68.                                   µe/µd
                                         magnetic moment ratio
                                         Electron to shielded helion
                                 69.                                   µe/µ'h                  864.05825510
                                         magnetic moment ratio
                                         Electron magnetic
                                 70.                                    ae             1.15965218694 x10 –3
                                         moment anomaly
                                 71.     Electron g–factor              ge                 ȉ2.00231930437
                                 72.     Electron gyromagnetic ratio    γe      1.76085979471 x10 11 s –1 T –1
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                                 73.     Muon mass                  mµ           1.8835310916 x10 –28 kg
                                         Muon mass energy
                                 74.                               mµc2           1.6928333214 x10 –11 J
                                         equivalent
                                 75.     Muon–tau mass ratio       mµ/mτ                5.9457297 x10 –2
                                 76.     Muon–proton mass ratio    mµ/mp                 0.11260951733
                                 77.     Muon–neutron mass ratio   mµ/mn                 0.11245450793
                                         Muon magnetic moment
                                 78.                                 aµ             1.1659160264 x10 –3
                                         anomaly
                                 79.     Muon g–factor               gµ                ȉ2.00233183201
                                         Muon Compton
                                 80.                               λc, µ        11.7344419735 x10 –15 m
                                         wavelength
                                         Muon Compton
                                 81.                               Ȝ c, µ       1.86759444455 x10 –15 m
                                         wavelength over 2 pi
                                 82.     Muon magnetic moment       µµ       ȉ4.4904481322x10 –26 J T –1
                                      Muon magnetic moment         µ µ /µB        ȉ4.8419708515 x10 –3
                                 83.
                                      to Bohr magneton ratio
                                      Muon magnetic moment to      µ µ /µN              ȉ8.8905977027
                                 84.
                                      nuclear magneton ratio
                                      Muon–proton magnetic         µ µ /µp              ȉ3.1833453910
                                 85.
                                      moment ratio
                                 86. Tau Compton wavelength         λc,τ             0.6977011 x10 –15 m
                                      Tau Compton wavelength
                                 87.                                Ȝ c,τ           0.11104218 x10 –15 m
                                      over 2 pi
                                 88. Tau mass                       mτ              3.1678852 x10 –27 kg
                                      Tau mass energy              mτc 2
                                 89.                                                 2.8471546 x10 –10 J
                                      equivalent
                                 90. Tau–proton mass ratio         mτ/mp                      1.8939631
                                      Proton Compton
                                 91.                                λc,p        1.32140984710 x10 –15 m
                                      wavelength
                                      Proton Compton
                                 92.                               Ȝ c,p        0.21030890892 x10 –15 m
                                      wavelength over 2 pi
                                 93. Proton mass                    mp           1.6726215813 x10 –27 kg
                                      Proton mass energy           mpc 2
                                 94.                                              1.5032773112 x10 –10 J
                                      equivalent
                                      Proton–neutron mass          mp/mn
                                 95.                                                     0.99862347856
                                      ratio
                                      Proton charge to mass
                                 96.                               e/mp       9.5788340838 x10 7 C kg –1
                                      quotient
                                 97. Proton magnetic moment          µp      1.41060663358 x10 –26 J T –1
                                      Shielded proton magnetic
                                 98.                                µ'p      1.41057039959 x10 –26 J T –1
                                      moment
                                      Proton magnetic moment
                                 99.                               µp/µN                 2.79284733729
                                      to nuclear magneton ratio
                                      Proton–neutron magnetic                           ȉ1.4598980534
                                 100.                              µp/µn
                                      moment ratio
                                      Shielded proton magnetic
                                 101. moment to Bohr               µ'p/µB          1.52099313216 x10 –3
                                      magneton ratio
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                                 102. Proton gyromagnetic ratio    γp      2.6752221211 x10 8 s –1 T –1
                                      Shielded proton
                                 103.                              γ' p    2.6751534111 x10 8 s –1 T –1
                                      gyromagnetic ratio
                                      Proton magnetic shielding
                                 104.                              σ'p                 25.68715 x10 –6
                                      correction
                                 105. Proton g–factor              gp                  5.58569467557
                                      Neutron Compton
                                 106.                             λc,n       1.31959089810 x10 –15 m
                                      wavelength
                                      Neutron Compton
                                 107.                             Ȝ c,n      0.21001941422 x10 –15 m
                                      wavelength over 2 pi
                                 108. Neutron mass                 mn         1.6749271613 x10 –27 kg
                                      Neutron mass energy         mnc 2
                                 109.                                          1.5053494612 x10 –10 J
                                      equivalent
                                      Neutron magnetic                    ȉ0.9662364023x10 –26 J T –1
                                 110.                              µn
                                      moment
                                      Neutron magnetic
                                 111. moment to Bohr              µn/µB         –1.0418756325 x10 –3
                                      magneton ratio
                                 112. Neutron g–factor             gn                 ȉ3.8260854590
                                      Neutron gyromagnetic
                                 113.                              γn      1.8324718844 x10 8 s –1 T –1
                                      ratio
                                 114. Deuteron mass                md         3.3435830926 x10 –27 kg
                                      Deuteron mass energy        mdc 2
                                 115.                                          3.0050626224 x10 –10 J
                                      equivalent
                                 116. Deuteron molar mass         M(d)    2.01355321271x10–3 kg mol –1
                                      Deuteron–electron mass      md/me
                                 117.                                                  3670.48295508
                                      ratio
                                      Deuteron–proton mass        md/mp
                                 118.                                                  1.99900750083
                                      ratio
                                      Deuteron magnetic
                                 119.                              µd     0.43307345718 x10 –26 J T –1
                                      moment
                                      Deuteron magnetic
                                 120. moment to Bohr              µd/µB         0.46697545565 x10 –3
                                      magneton ratio
                                      Deuteron magnetic
                                 121. moment to nuclear           µd/µN                0.85743822849
                                      magneton ratio
                                      Deuteron–proton
                                 122.                             µd/µp                0.30701220835
                                      magnetic moment ratio
                                 123. Helion mass                  mh         5.0064117439 x10 –27 kg
                                      Helion mass energy          mhc 2
                                 124.                                          4.4995384835 x10 –10 J
                                      equivalent
                                 125. Helion molar mass           M(h)    3.01493223470x10 –3kg mol–1
                                      Helion–electron mass        mh/me
                                 126.                                                  5495.88523812
                                      ratio
                                 127. Helion–proton mass ratio    mh/mp                2.99315265851
                                      Shielded helion magnetic            ȉ1.07455296745 x10 –26 J T–1
                                 128.                              µ'h
                                      moment
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                                          Shielded helion magnetic
                                 129.     moment to Bohr             µ'h/µB              ȉ1.15867147414 x10 –3
                                          magneton ratio
                                          Shielded helion magnetic
                                 130.     moment to nuclear          µ'h/µN                        ȉ2.12749771825
                                          magneton ratio
                                          Shielded helion
                                 131.                                  γ' h      2.03789476485 x10 8 s –1 T –1
                                          gyromagnetic ratio
                                 132.     Alpha particle mass          mα               6.6446559852 x10 –27 kg
                                          Alpha particle mass        mαc 2
                                 133.                                                     5.9719189747 x10 –10 J
                                          energy equivalent
                                 134.     Alpha particle molar mass M(α)         4.00150617471 x10–3 kg mol–1
                                          Alpha particle to electron m /m
                                 135.                                  α e                              7294.29950816
                                          mass ratio
                                          Alpha particle to proton   mα/mp
                                 136.                                                                   3.97259968461
                                          mass ratio
                               To insert a constant at the cursor position :
                               1.       Press [ CONST ] to display the physics constants menu.
                               2.       Press [     ] or [ 2nd ] [  ] until the constant you want is
                                        underlined.
                               3.       Press [        ].
                               You also can use the [ CONST ] key in combination with a number, 1
                               through 136, to recall a physical constants. For example, press 15
                               [ CONST ].
                                                                       DEG
                                                               e
                                                                                             –19
                                                               1.6 0 2 1 7 6 4 6 2 6 3
                               ¾3 x NA = 1.80664259841 x 10 24
                                                                                  CONST            DEG
                                    3 [ x ] [ CONST ] [ CONST ] [        ]
                                    [      ]                                      h      h         NA     l p   t p     23
                                                                                      6. 0 2 2 1 4 1 9 9 4 7
                                    [        ]                                    CONST            DEG
                                                                                                                   –1
                                                                                  008 :                     mo l        23
                                                                                      6. 0 2 2 1 4 1 9 9 4 7
[ ][ ] CONST DEG
                                                                                  3 ¼N A =                              24
                                                                                  1 .8 0 6 6 4 2 5 9 8 4 1
                                        Base–n calculations
                               Use MAIN ( [ MODE ] 1 ( MAIN ) ) mode for Base–n calculations.
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                               The unit enables you to calculate in number base other than decimal.
                               The calculator can add, subtract, multiply, and divide binary, octal, and
                               hexadecimal numbers.
                               The following shows the numerals that can be used in each number
                               base.
                               Binary base ( b ) : 0, 1
                               Octal base ( o ) : 0, 1, 2, 3, 4, 5, 6, 7
                               Decimal base : 0, 1, 2, 3, 4, 5, 6, 7, 8, 9
                               Hexadecimal base ( h ) : 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F
                               To distinguish the A, B, C, D, E and F used in the hexadecimal base
                               from standard letters, they appear as shown in the below.
                                                           Display Display     Display Display
                                                 Key                       Key
                                                           (Upper) (Lower)     (Upper) (Lower)
                                                   A         /A             D    ID
                                                   B         IB             E    IE
                                                   C         IC             F    IF
                               Select the number base you want to use with [ BIN ], [ OCT ],
                               [ DEC ], [ HEX ]. The " BIN ", " b ", " OCT ", " o ", " HEX ", " h "
                               indicators show you which number base you are using. If none of the
                               indictors appears in the display, you are in decimal base.
                               Bases conversions
                               ¾37 (base 8) = 31 (base 10) = 1F (base 16)
                                  [ 2nd ] [ OCT ] 37                                    DEG      OCT
                                                                                                              o
                                                                                  00 0 0 0 0 0 0 0 3 7
3 1.
                                                                                                              h
                                                                                       0 0 0 0 0 0 1F
                               Block Function
                               For a result in binary base, it will be displayed using block function.
                               The maximum of 32 digits are displayed in 4 blocks of 8 digits.
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                                                             Indicates Block 4 presently displayed
                                                               Indicates Block 3 presently displayed
                                                                  Indicates Block 2 presently displayed
                                                                    Indicates Block 1 presently displayed
                                                                   DEG BIN
                                                      
 
 
 
 110 10 011             b
                                                      
                               The block function comprises upper and lower block indicators. The
                               upper indicator means current block position, and the lower indicator
                               means total blocks for a result.
                               In the binary base, the block 1 is displayed immediately after
                               calculation. Other blocks ( block 2 ~ block 4 ) are displayed by
                               pressing [     ].
                               For example, input 47577557 16
                               Press [ 2nd ] [ HEX ] 47577557
                                                                             Indicates Block 1 presently displayed
                                                                           DEG BIN
                               [ 2nd ] [ BIN ]
                                                            
––
                                                                    
   01010111 b
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                               Basic arithmetic operations for bases
                               ¾1IEIF 16 + 1234 10               1001 2 = 1170 8
                                  [ 2nd ] [ HEX ] 1E F [ + ] [ 2nd ]                         DEG     OCT
                               Negative expressions
                               In binary, octal, and hexadecimal bases, the calculator represents
                               negative numbers using complement notation. The complement is the
                               result of subtracting that number from 10000000000 in that number's
                               base by pressing [ NEG ] key in non-decimal bases.
                               ¾3/A 16 = NEG IFIFIFIFIFIFIC6 16
                                 [ 2nd ] [ HEX ] 3 A [ NEG ]                                 DEG         HEX
                                                                                     NEG    h 3 /A
                                                                                                                  h
                                                                                            F F FFFFC6
                               Logical operation
                               Logical operations are performed through logical products (AND),
                               negative logical (NAND), logical sums (OR), exclusive logical sums
                               (XOR), negation (NOT), and negation of exclusive logical sums
                               (XNOR).
                               ¾1010 2 AND ( /A 16 OR 7 16 ) = 12 8
                               [ 2nd ] [ BIN ] 1010 [ AND ] [ ( ] [ 2nd ]                    DEG   BIN
                                     Statistical Calculations
                               Use STAT ( [ MODE ] 2 ( STAT ) ) mode for statistical calculations.
                               The calculators can perform both single–variable                           statistical
                               calculations and paired–variable in this mode.
                               Press [ MODE ] 2 ( STAT ) to enter STAT mode. There are six items in
                               STAT mode, asking you to select one of them,
                               Single–variable statistics
                               1–VAR Single–variable statistics
                               Paired-variable / Regression statistics
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                               LIN           Linear Regression               y=a+bx
                               LOG           Logarithmic Regression          y = a + b lnx
                                                                                      bx
                               EXP           Exponential Regression          y=a•e
                                                                                      b
                               POW           Power Regression                y=a•x
Variables Meaning
                                                                          -E28-
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                                                                Minimum (CPU, CPL) of the x values, where
                                                                CPU is upper spec. limit of capability
                                CPK ( [CPK] )                   precision and CPL is lower spec. limit of
                                                                capability precision
                                                                CPK = Min ( CPU , CPL ) = CP ( 1 – Ca )
                                Variables                       Meaning
                                n([n])                          Number of x-y pairs entered
                                 x ( [2nd]+[ x ] )
                                                                Mean of the x values or y values
                                 y ( [2nd]+[ y ] )
                                ¦x ( [2nd]+[         ¦x ] )
                                                                Sum of all x values or y values
                                ¦y ( [2nd]+[         ¦y ] )
                                     2
                                ¦x ( [2nd]+[ ¦x 2 ])                           2            2
                                     2
                                                                Sum of all x values or y values
                                ¦y ( [2nd]+[ ¦y 2 ])
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                               You also can add a new data anytime. The unit automatically
                               recalculates statistics each time you press [ DATA ] and enter a new
                               data value.
                               ¾Enter data : USL = 95, LSL = 70, DATA 1 = 75, DATA 2 = 85, DATA
                                     3 = 90, DATA 4 = 82, DATA 5 = 77, then find out n = 5, = 81.8,
                                     Sx = 6.05805249234, ıx = 5.41848687366, CP = 0.76897236513,
                                     and CPK = 0.72590991268
                                                                                    DEG          STAT
                                 [ MODE ] 2
                                                                          1–V A R    L I N   L OG
                                                                                    DEG          STAT
                                 [        ] [ DATA ] 75 [ DATA ] 85
                                 [ DATA ] 90 [ DATA ] 82 [ DATA ] 77      DATA       5
                                                                                              7 7
                                                                          n
                                                                                                5.
                                 [ 2nd ] [ x          ]                             DEG          STAT
                                                                          x
                                                                                             8 1.8
                                 [ 2nd ] [       Sx       ]                         DEG          STAT
                                                                          S X
                                                                          6.0 5 8 0 5 2 4 9 2 3 4
                                                                          ı x
                                                                          5.4 1 8 4 8 6 8 7 3 6 6
                                                                                    DEG          STAT
                                 [ 2nd ] [       CP       ] 95
                                                                          USL=                       CP
                                                                                              9 5    USL
[ ] 70 DEG STAT
                                                                          L SL=                      CP
                                                                                              7 0    LSL
[ ] DEG STAT
                                                                          CP
                                                                          0.7 6 8 9 7 2 3 6 5 1 3
                                 [ CPK ]                                            DEG          STAT
                                                                          USL=                       CPK
                                                                                              9 5 . USL
                                 [           ]                                      DEG          STAT
                                                                          L SL=                      CPK
                                                                                              7 0 . LSL
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                                 [            ]                                            DEG             STAT
                                                                                 CPK
                                                                                 0.7 2 5 9 0 9 9 1 2 6 8
                               ¾Find a, b and r for the following data using linear regression and
                                         estimate x = ? for y =573 and y = ? for x = 19.
                                             Data item         15         17         21          28
                                                  FREQ.        451        475        525         678
                               Deleting data
                               The method to delete data depends on whether you have already
                               stored the data by next pressing [ DATA ] key or not.
                               To delete data you just input but have not yet stored it by next pressing
                               [ DATA ] , simple press [ CE ].
                               To delete data that you have already stored by next pressing [ DATA ] ,
                               (A) To delete single–variable data using the following syntaxes :
                                     #     < x value > [ 2nd ] [ DEL ]
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                                    #     < x value > [ x ] < Number of repeats > [ 2nd ] [ DEL ]
                               (B) To delete paired–variable / regression data using the following
                                   syntaxes:
                                    #     Individual data-set : < x value > [                 ] < y value > [ 2nd ] [ DEL ]
                                    #     Multiple data-set with the same value :
                                          < x value > [ ] < y value > [ x ] < Number of repeats > [ 2nd ]
                                          [ DEL ]
                               If you enter and delete a value that isn't included in the stored data by
                               mistake, " dEL Error " appears, but the previous data are still retained.
                               Editing data
                               Press [ 2nd ] [ EDIT ] to enter EDIT mode. The EDIT mode is
                               convenient and friendly for you to view, correct, delete data.
                               (A) In 1–VAR mode, the method to view data depends on whether you
                                   want to view data item or not.
                                    # Each time you press [ DATA ], first data item appears 1 second
                                      and then the corresponding value.
                                                           DEG        STAT                             DEG       STAT
                                                                      EDIT                                       EDIT
                               [ DATA ]                                          1 second
                                                                 dAtA 1                                       15.
                               (B) In REG mode, each time you press [ DATA ], data item and x value
                                   appear on the screen at the same time. You can press [ ] to
                                   switch between x and y value.
                                                            DEG           STAT                       DEG      STAT
                               If you want to correct data, find out and enter a new entry to replace it.
                               FULL message
                               A “ FULL” is indicated when any of the following conditions occur and
                               further data entry becomes impossible. Just pressing any key can
                               clear the indicator. The previous data entries are still retained unless
                               you exit STAT mode.
                               1)       If the times of data entry by [ DATA ] is more than 50
                               2)       The number of repeats is more than 255
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                               3)       n!12750 (n = 12750 appears when the times of data entry by
                                        [ DATA ] are up to 50 and the number of repeats for each value
                                        are all 255, i.e. 12750 = 50 x 255 )
                                        Complex Calculations
                               Use CPLX ( [ MODE ] 3 ( CPLX ) ) mode for complex calculations.
                               Complex mode enables you to add, subtract, multiply, and divide
                               complex numbers.
                               The results of a complex operation are displayed as follow :
                               Re             Real value                       Im        Imaginary value
                               ab             Absolute value                   ar        Argument value
                               ¾( 7 – 9 i ) + ( 15 + 12 i ) = 22 + 3 i , ab = 22.2036033112, ar =
                                        7.76516601843
                                    [ MODE ] 3                                        CPLX    DEG
                                                                                                                0.
                                                                                      CPLX    DEG
                                7 [ – ] 9 [ i ] [ + ] 15 [ + ] 12 [ i ] [       ]
                                                                                    Re     I m      a b   a r
                                                                                                            2 2.
                                    [     ]                                           CPLX    DEG
                                                                                    Re     I m      a b   a r
                                                                                                                3 .i
                                    [     ]                                           CPLX    DEG
                                                                                    Re     I m      a b   a r
                                                                                    2 2.2 0 3 6 0 3 3 1 1 2
                                    [     ]                                           CPLX    DEG
                                                                                    Re     I m      a b   a r
                                                                                    7.7 6 5 1 6 6 0 1 8 4 3
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