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

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

1. Design the 4-bit synchronous up/down counter with timing diagram, logic diagram and truth table.
2. Design a full subtractor with truth table and logic gates.
3. Design a decimal adder with logical diagram and truth table.

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

4. Differentiate between Analog and Digital system.
5. Convert the following octal numbers to hexadecimal.
   • a. 1760.46
   • b. 6055.263
6. Which gates can be used as inverts in additional to the NOT gate and how?
7. Draw a logic gates that implements the following
8. State and prove De-Morgan’s theorem 1st and 2nd with logic gates and truth table.
9. Reduce the following expressions using K-map
10. Differentiate between a MUX and a DEMUX.
11. Explain the operation of Decoder.
12. What are the various types of shift registers?
13. What do you mean by Synchronous counter?