Digital Logic design
Solution of GTU Remedial Paper (DLD)
Q.1 (a) Define: Digital System. Convert following Hexadecimal Number to Decimal : B28, FFF, F28 Convert following Octal Number to Hexadecimal and Binary: 414, 574, 725.25 Digital System:- A Digital system in which the voltage level issue the finite level of Digital system. Conversion : - Hexa to Dec. (B28)16 = 11*(16^2) + 2*(16^1) + 8*(16^0) = 11*32+2*16+8*1 = 352+32+8 = (392)10 (FFF)16 = 15*32+15*16+15*1 = (735)10 (F28)16 = 15*32+2*16+8*1 = (520)10
Conversion : - octal to hexa & binary (414)8= (100001100)2 = (0001 0000 1100) =(10C)16 (574)8= (101111100)2 = (0001 0111 1100) = (17C)16 (725.25)8= (111010101.010101)2 = (0001 1101 0101.0101 0100) = (1D5.54)16
Digital Logic design
(b) Define : Integrated Circuit and briefly explain SSI, MSI, LSI and VLSI :-
Digital Logic design
Digital Logic design
Q.2 (a) Draw the logic symbol and construct the truth table for each of the following gates. [1] Two input NAND gate [2] Two input OR gate [3] Two input EX-NOR gate [4] NOT gate
1] Two input NAND gate :
2] Two input OR gate :
3] Two input EX-NOR gate :
4] NOT gate :
(b) Give classification of Logic Families and compare CMOS and TTL
Digital Logic design
families :
OR
Digital Logic design
(b) Explain SOP and POS expression using suitable examples SOP Form: Algorithm: Minimum Sum of Products Expression from a K-Map Step 1: Choose an element of ON-set not already covered by an implicant Step 2: Find "maximal" groupings of 1's and X's adjacent to that element. Remember to consider top/bottom row, left/right column, and corner adjacencies. This forms prime implicants (always a power of 2 number of elements). Repeat Steps 1 and 2 to find all prime implicants Step 3: Revisit the 1's elements in the K-map. If covered by single prime implicant, it is essential, and participates in final cover. The 1's it covers do not need to be revisited Step 4: If there remain 1's not covered by essential prime implicants, then select the smallest number of prime implicants that cover the remaining 1's Converting General Expression to SOP Form apply distributivity A(B + CD) = AB + ACD Converting Product Terms to Standard SOP multiply each term by the sum of a missing variable and its complement and apply distributivity AB + ACD = AB(C + C)(D + D) + A(B + B)CD = ABCD + ABCD + ABCD + ABCD + ABCD + ABCD POS Form: Converting Sum Terms to Standard POS add to each sum term the product of a missing variable and its complement and apply distributivity (A+B+C)(B+C+D)(A+B+C+D) = (A+B+C+DD)(AA+B+C+D)(A+B+C+D) = (A+B+C+D)(A+B+C+D)(A+B+C+D)(A+B+C+D)(A+B+C+D)
Q.3 (a) Design a 4 bit binary to BCD code converter.
Digital Logic design
Decimal Digit Binary of Decimal Digit 8421 2421 5211 6 4 -2 -3 8 4 -2 -1 5421 XS-3
0 1 2 3 4 5 6 7 8 9
0 1 10 11 100 101 110 111 1000 1001
0 1 10 11 100 101 110 111 1000 1001
0 1 10 11 100 1011 1100 1101 1110 1111
0 1 11 101 111 1000 1010 1100 1110 1111
0 101 10 1001 100 1011 110 1101 1010 1111
0 111 110 101 100 1011 1010 1001 1000 1111
0 1 10 11 100 1000 1001 1010 1011 1100
11 100 101 110 111 1000 1001 1010 1011 1100
(b) Design a full adder circuit using decoder and multiplexer.
Q.3 (a) Write short note on EEPROM, EPROM and PROM Ans(b) Define: [1] Comparator [2] Encoder [3] Decoder [4] Multiplexer [5] De-multiplexer [6] Flip Flop [7] PLA Ans:[1]comparator:[2]encoder:-an encoder is a digital device that receive digits,alphabets,special symbol And converts them to their respective binary code. [3]decoder:- a decoder converts binary coded information to unique o\p such as Decimal,octal etc. [4]multiplexer:- a multiplexer is a logic ckt. That accepts several data i\p and allows only One of them to get through the o\p. [5]de-multiplexer:- a de-multiplexer is a digital ckt. That takes only one i\p and gives several o\p. [6]flip flop:[7]pla:Q.4 (a) Draw and explain the working of following flip-flops [1] Clocked RS [2] JK
Digital Logic design
Ans:[1]
Fig. of RS flip flop
Digital Logic design
[2] jk flip flop
Digital Logic design
Digital Logic design
Q.4 (b) Convert SR flip-flop into JK flip-flop Ans:-
OR
Q.4 (a) Design sequential counter as shown in the state diagram using JK flip-flops
(b) State and explain the features of register transfer logic
Digital Logic design
Ans:-
Digital Logic design
Digital Logic design
Q.5 (a) Explain the working of 4 bit a synchronous counter Ans:-
Digital Logic design
Digital Logic design
Digital Logic design
(b) Explain memory unit Ans:-
Digital Logic design
Digital Logic design
Digital Logic design
OR
Q.5 (a) Explain the design of Arithmetic Logic Unit
Ans:-
(b) Explain Control Logic Design Ans:-
