Full Marks: 60
Pass Marks: 24
Time: 3 hours

Attempt any two questions: (2 x 10 = 20)

1. What is decoder? Implement the following using decoder.
   • (a) F (W X Y Z) = Σ (0,1,3,4,8,9,10)
   • (b) F (W X Y Z) = Σ (1,3,5,6,11,13,14)
2. What do you mean by asynchronous counter? Design a mod-6 synchronous counter using T flip-flops.
3. Explain the Master-slave S-R flip-flop with logic diagram, truth table and timing diagram.

Attempt any eight questions: (8 x 5 = 40)

4. Design a half subtractor using only NOR gates.
5. Convert the following decimal numbers into hexadecimal and octal number.
   • (a) 220
   • (b) 1020
6. Design a multiplexer 4x1 using only universal gates.
7. What is J-K flip flop? Explain.
8. Write a procedure to reduce K-maps.
9. What are the various types of shift registers?
10. Draw a logic diagram of a 4 bit ripple counter using D-flip flop.
11. Differentiate between combinational logic and sequential logic. List some applications of sequential logic.
12. Explain the decimal adder.
13. Write short notes on :
    • (a) Programmable Logic Array
    • (b) Triggering at flip-flop
    • (c) Memory Unit