Fundamental of Electrical &
Electronic 2
Electronics
2019.02.27/TKK/GDVT
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DIGITAL TECHNOLOGIES
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Decimal-to-Binary
Conversion
Binary-to-Decimal
Conversion
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Used by Used in
System Base Symbols humans? computers?
Decimal 10 0, 1, … 9 Yes No
Binary 2 0, 1 No Yes
Octal 8 0, 1, … 7 No No
Hexa- 16 0, 1, … 9, No No
decimal A, B, … F
Hexa-
Decimal Binary Octal decimal
0 0 0 0
1 1 1 1
2 10 2 2
3 11 3 3
4 100 4 4
5 101 5 5
6 110 6 6
7 111 7 7
p. 33
Hexa-
Decimal Binary Octal decimal
8 1000 10 8
9 1001 11 9
10 1010 12 A
11 1011 13 B
12 1100 14 C
13 1101 15 D
14 1110 16 E
15 1111 17 F
Hexa-
Decimal Binary Octal decimal
16 10000 20 10
17 10001 21 11
18 10010 22 12
19 10011 23 13
20 10100 24 14
21 10101 25 15
22 10110 26 16
Etc.
23 10111 27 17
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Decimal Octal
Binary Hexadecimal
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Bit “0”
1010112 => 1 x 20 = 1
1 x 21 = 2
0 x 22 = 0
1 x 23 = 8
0 x 24 = 0
1 x 25 = 32
4310
a) 0110 2 = ?
b) 11010 2 = ?
c) 0110101 2 = ?
d) 11010011 2 = ?
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a) 0110 2 = ? 6 10
b) 11010 2 = ? 26 10
c) 0110101 2 = ? 53 10
d) 11010011 2 = ? 211 10
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12510 = ?2 2 125
2 62 1
2 31 0
15 1
2
7 1
2
2 3 1
2 1 1
0 1
12510 = 11111012
a) 1310 = ?
b) 2210 = ?
c) 4310 = ?
d) 15810 = ?
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a) 1310 = ? 1 1 0 1 2
b) 2210 = ? 101102
c) 4310 = ? 1 0 1 0 1 1 2
d) 15810 = ? 100111102
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ABC16 => C x 160 = 12 x 1 = 12
B x 161 = 11 x 16 = 176
A x 162 = 10 x 256 = 2560
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10AF16 = ?2
1 0 A F
0001 0000 1010 1111
10AF16 = 00010000101011112
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123410 = ?16
16 1234
16 77 2
16 4 13 = D
0 4
123410 = 4D216
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10101110112 = ?16
10 1011 1011
2 B B
10101110112 = 2BB16
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You’re required to determine the answer of the following
questions by refer to any references. (5 minutes)
Fill up the Number Conversion Table below accordingly:
Hexa-
Decimal Binary decimal
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1110101
1AF
References:
1. https://www.rapidtables.com/math/number/Numeral_system.html
2. Number Systems Introduction https://www.youtube.com/watch?v=L2zsmYaI5ww
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Hexa-
Decimal Binary decimal
33 100001 21
117 1110101 75
431 110101111 1AF
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Determine the Operation of each of the circuit below:
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A JK Flip-flop has no prohibited input combinations
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You’re required to determine the answer of the following
questions by refer to any references. (30 minutes)
1. What are the differences between analog, binary and digital
signals?
2. Name two applications each for an AND operation and an OR
operation. Briefly discuss the operation of each application.
3. Discuss the structure of RS Flip-flop.
References:
1. https://en.wikipedia.org/wiki/Digital_signal
2. https://en.wikipedia.org/wiki/Analog_signal
3. Difference between Binary Signal and Digital Signal
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