Question 1
Consider the circuit diagram shown below:
Given that we only have 2:1 mux gates, what is the minimum number of mux gates needed to represent the circuit diagram above?

The IIT Madras BS Computer System Design (Computer System Design) Quiz 1 paper sat on 19 Jul 2026, in the May 2026 term: 12 questions for 50 marks in 120 minutes. Every question is below with its answer. Take it as a timed mock test to be marked, or read it through first.
Consider the circuit diagram shown below:
Given that we only have 2:1 mux gates, what is the minimum number of mux gates needed to represent the circuit diagram above?
Correct answer: 3
Answer the following question based on given timing diagram.
Given that we only have 2-input XOR gates, what is the minimum number of XOR gates needed to represent a circuit with an output timing diagram same as Y?
Correct answer: 2
Correct answer: 1
Correct answer: 4
Correct answer: 10
A 4×16 decoder is implemented using NOT gates (delay = 1 ns) and 4-input AND gates (delay = 2 ns). What is the maximum delay from any input to any output?
Note: If the answer is 4 ns, write 4.
Correct answer: 3
None of these
Correct answer
0.75
0.33
0.25
1
0.50
Correct answer
0.50
None of these
Correct answer
2 or more inputs are at logic 0
2 or more inputs are at logic 1
Any odd number of inputs are at logic 0
Any odd number of inputs are at logic 1
Correct answer
Any odd number of inputs are at logic 0
What will be the output of the given circuit, as shown below?
1
0
X
Correct answer
a = 3, b = 4
a = 4, b = 5
a = 5, b = 6
a = 6, b = 7
a = 7, b = 8
Correct answer
a = 5, b = 6