Which of the following is a sequential logic circuit?
Answer: C
Flip-flops are sequential logic circuits with memory; others are combinational circuits without memory
Q.7Medium
In a JK flip-flop, when J=1 and K=1, the next state will be:
Answer: C
JK flip-flop truth table: J=1, K=1 causes toggle (Q switches to Q', Q' switches to Q)
Q.8Medium
What is the fan-out of a logic gate?
Answer: B
Fan-out specifies how many standard loads (inputs of similar gates) one output can drive without degradation
Q.9Medium
Which digital logic family has the highest speed of operation?
Answer: C
ECL (Emitter Coupled Logic) has propagation delay ~1ns, fastest among families despite higher power consumption
Q.10Medium
The number of logic levels required to represent 32 different states in binary is:
Answer: B
2^n = 32, therefore n = 5 bits (since 2^5 = 32)
Q.11Medium
What is the main advantage of CMOS logic over TTL?
Answer: B
CMOS technology draws power only during switching, resulting in very low static and dynamic power consumption compared to TTL
Q.12Medium
A 4-to-1 multiplexer has inputs A, B, C, D and select lines S₁, S₀. If S₁=0 and S₀=1, which input is selected?
Answer: B
Selection code 01 (binary) = 1 (decimal), which selects input B (second input)
Q.13Medium
In Karnaugh map simplification, a group of 8 adjacent cells eliminates how many variables?
Answer: C
A group of 2^n cells eliminates n variables. Group of 8 = 2^3, eliminates 3 variables
Q.14Medium
What is the primary function of an encoder in digital electronics?
Answer: C
Encoder produces binary-coded output corresponding to only one active input line among many inputs
Q.15Medium
A synchronous counter differs from asynchronous counter in that:
Answer: B
Synchronous counters apply clock to all flip-flops simultaneously, eliminating propagation delay limitations of asynchronous counters
Q.16Hard
Which of the following Boolean expressions is equivalent to (A+B)·(A+C)?
Answer: A
Using distribution law: (A+B)·(A+C) = A + BC (Consensus theorem verification)
Q.17Hard
In a 3-bit binary counter with initial state 000, after 9 clock pulses, the state will be:
Answer: A
3-bit counter is MOD-8. After 8 pulses it returns to 000, so after 9 pulses state is 001 (counts 0-7, repeats)
Q.18Hard
Design a circuit using NAND gates only to implement NOR function. How many NAND gates are minimum required?
Answer: B
NOR(A,B) = NAND(NAND(A,A), NAND(B,B)). First two gates provide inverted inputs, third performs NAND operation
Q.19Hard
A decade counter counts from 0 to 9. To design a decade counter from a binary counter, how many flip-flops minimum are needed along with additional logic?
Answer: B
4 flip-flops can count 0-15 (MOD-16). With reset logic at count 10, it becomes MOD-10 (decade counter)
Q.20Medium
In a 4-bit ripple counter, the maximum frequency that can be counted is limited by the:
Answer: A
In ripple counters, each flip-flop must settle before the next one can toggle. The maximum countable frequency is limited by the total propagation delay through all stages.