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

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

1. What are the various types of numbering system use in the digital logic? Explain. Convert the 3EC816 into different numbering system that you know.
2. Design the mod-6 asynchronous counter and explain with truth table.
3. What is demultiplexer? Draw its block diagram and explain its working principle.

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

4. Convert the hexadecimal number 2BFC to binary and then to octal.

5. Proof the De-Morgan 1st and 2nd theorem with truth table and logic gates.

6. Simplify, the following Boolean function using three variable K-map.

   • a) F(X,Y,Z) = ∑(0,3,2,5)
   • b) F(A,B,C) = ∑(0,2,4,5,6)

7. Simplify the Boolean expression. $Y = \overline{A.B} + \overline{A+B}$ prepare truth table to show that the simplified expression is correct or not?

8. Explain the PLA (Programmable Logic Array).

9. How JK flip flop can convert into a D-flip flop?

10. What do you mean by synchronous counter? Explain with truth table.

11. Draw a 3 to 8 decoder circuit and explain its operation.

12. Mention the difference types of shift register and explain.

13. Write short notes on:

    • a) CMOS
    • b) Universal gates
    • c) Error detection code