BEE FREE Bachelor of Electrical Engineering Digital Circuits Questions and Answers 2 — Questions and Answers
Question 1: What is the output of an XOR gate when both inputs are logic 1?
- 0 (Correct answer)
- 1
- Undefined
- High impedance
Correct answer: 0
An XOR gate produces a 0 output when both inputs are identical.
Question 2: Which flip-flop is used to divide the input clock frequency by 2?
- T flip-flop with T=1 (Correct answer)
- D flip-flop with D=0
- SR flip-flop with S=1
- JK flip-flop with J=0, K=0
Correct answer: T flip-flop with T=1
A T flip-flop with T tied to 1 toggles on every clock edge, producing a frequency that is half the input clock.
Question 3: How many 2-to-1 multiplexers are needed to build a 4-to-1 multiplexer?
- 3 (Correct answer)
- 2
- 4
- 1
Correct answer: 3
A 4-to-1 MUX requires two 2-to-1 MUXes at the first stage and one at the second stage, totaling three.
Question 4: What is the minimum number of NAND gates required to implement a NOT gate?
- 1 (Correct answer)
- 2
- 3
- 4
Correct answer: 1
Connecting both inputs of a NAND gate together produces the complement of the input, functioning as a NOT gate.
Question 5: In a 4-bit binary ripple counter, what is the maximum count value before it resets to zero?
- 15 (Correct answer)
- 16
- 10
- 8
Correct answer: 15
A 4-bit counter counts from 0 to 2^4 − 1 = 15 before rolling over to zero.
Question 6: Which Boolean expression represents the consensus theorem?
- AB + A'C + BC = AB + A'C (Correct answer)
- AB + A'C + BC = AB + BC
- AB + A'C + BC = A'C + BC
- AB + A'C + BC = AB + A'C + ABC
Correct answer: AB + A'C + BC = AB + A'C
The consensus theorem states that the term BC is redundant when both AB and A'C are present.
What is the output of an XOR gate when both inputs are logic 1?