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

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

1. What is the magnitude comparator? Design a logic circuit for 4 bit magnitude comparator and explain it.
2. What do you mean by full adder and full subtractor? Design a 3 to 8 line decoder using two 2 to 4 line decoder and explain it.
3. What is JK master slave flip-flop? Design its logic circuit, truth table and explain the working principle.

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

4. Convert the following hexadecimal number to decimal and octal numbers
   • (a) 0FFF
   • (b) 3FFF
5. Design a half adder logic circuit using NOR gates only.
6. Proof the 1st and 2nd law of De Morgan’s theorems with logic gate and truth table.
7. What do you mean by Universal gate? Realize the following logic gates using NOR gates.
   • (a) OR gate
   • (b) AND gate
8. Draw a logic circuit of 4 x 1 multiplexer.
9. What is flip-flop? Mention the application of flip-flop.
10. Explain the Ripple Counter.
11. Design the decimal adder.
12. What do you mean by shift registers? Explain.
13. Write short notes on (any two):
    • a. Decoder
    • b. Integrated circuit
    • c. PLA.