**GTU old question papers**

**GUJARAT TECHNOLOGICAL UNIVERSITY**

**B.E. Sem-III Remedial Examination May 2011**

**Subject code: 13 01**

**Subject Name: Digital Logic Design**

Instructions:

- Attempt all questions.
- Make suitable assumptions wherever necessary.
- Figures to the right indicate full marks.

Q.1 Answer the following

(i) Draw symbol and construct the truth table for three input Ex-OR gate.

(ii) What is the principle of Duality Theorem?

(iii) Explain briefly: standard SOP and POS forms.

(iv) What are Minterms and Maxterms?

(v) Define: Noise margin , Propagation delay

(vi) Give comparison between combinational and Sequential logic circuits

(vii) What is race-around condition in JK flip-flop?

Q.2 (a) (i) Explain NAND and NOR as an universal gates

(ii) Convert decimal 225.225 to binary ,octal and hexadecimal

(b) (i) Implement Boolean expression for Ex-OR gate using NAND gates only

(ii) convert decimal 8620 into BCD , excess-3 code and Gray code.

OR

(b) (i) Simplify the following Boolean function using K-map

F( w,x,y,z) = £( 1 , 3 , 7 , 11 , 15 )

with don’t care conditions d( w,x,y,z ) = £( 0, 2 ,5 )

(ii) Draw logic diagram , graphical symbol , and

Characteristic table for clocked D flip-flop

Q.3 (a) Design a combinational circuit whose input is four bit binary number and output is the 2’scomplement of the input binary number.

(b) Design a full-adder with two half-adders and an OR gate

OR

Q.3 (a) Design a BCD to decimal decoder

(b) What is multiplexer? Implement the following function with a multiplexer:

F(A,B,C,D) = (0 , 1 , 3 , 4 , 8 , 9 ,15 )

Q.4 (a) Write short note on : Read Only Memory (ROM)

(b) A combinational circuit is defined by functions:

F_{1}(A,B,C) = ( 3 , 5 , 6, 7 )

F_{2}(A,B,C) = £( 0 , 2 , 4, 7 )

Implement the circuit with PLA having three inputs four product term and two outputs

OR

Q.4 (a) Give classification of counters and explain asynchronous

4-bit binary ripple counter

(b) Explain briefly:

(i) logic and shift micro-operations

(ii) fixed-point binary data and floating-point data

Q.5 (a) Draw block diagram of a 4-bit arithmetic logic unit. Design an adder/subtractor circuit with one selection variable S and two inputs A and B .when S = 0 circuit performs A+B, when S = 1 circuit performs A – B by taking the 2’s complement of B

(b) Draw and explain block diagram of microprograme control.

OR

Q.5 (a) Simplify the following Boolean function using tabulation Method and draw logic diagram

using NOR gates only F(w,x,y,z ) = ( 0 ,1 , 2 , 8 ,10 ,11,14,15 )

(b) Explain working of master-slave JK flip-flop with necessary logic diagram , state equation and state diagram.

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