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Computer Systems Design · Quiz 1 · May 2026

Computer Systems Design · Quiz 1 · May 2026

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Questions and published explanations below are available without starting a test. Some questions may not have a published solution yet.

0 / 12 published solutions

Question 2 NAT · 5.0 marks

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

A published solution is not available for this question yet.

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Question 3 NAT · 5.0 marks

Answer the following question based on given timing diagram.
Source diagram or notation
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?

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Question 4 NAT · 5.0 marks

What is the minimum number of **2:1** multiplexers required to design the circuit that implements the function
Source diagram or notation
?

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Question 5 NAT · 5.0 marks

Find the minimum number of literals in the SOP form: ab +
Source diagram or notation
+
Source diagram or notation
.

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Question 6 NAT · 3.0 marks

What is the minimum number of bits required to represent number
Source diagram or notation
in binary?

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Question 7 NAT · 3.0 marks

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.

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Question 8 MCQ · 4.0 marks

Given that
Source diagram or notation
, which of the following statements is always true?
6406537043452.Source diagram or notation
6406537043453.Source diagram or notation
6406537043454.Source diagram or notation
6406537043455.Source diagram or notation
6406537043456.
None of these

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Question 9 MCQ · 4.0 marks

Consider the circuit shown below. Given that the inputs are supplied uniformly random. What is the probability of the output
Source diagram or notation
being at logic 1?
Source diagram or notation
6406537043457.
0.75
6406537043458.
0.33
6406537043459.
0.25
6406537043460.
1
6406537043461.
0.50

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Question 10 MCQ · 4.0 marks

For the given POS function, find the equivalent minimized SOP expression:
Source diagram or notation
6406537043462.Source diagram or notation
6406537043463.Source diagram or notation
6406537043464.Source diagram or notation
6406537043465.Source diagram or notation
6406537043466.
None of these

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Question 11 MCQ · 4.0 marks

Consider the given Boolean function of three variables:
Source diagram or notation
. For which of the following conditions on inputs x, y, z, the output f is always at logic 1?
6406537043467.
2 or more inputs are at logic 0
6406537043468.
2 or more inputs are at logic 1
6406537043469.
Any odd number of inputs are at logic 0
6406537043470.
Any odd number of inputs are at logic 1

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Question 12 MCQ · 4.0 marks

What will be the output of the given circuit, as shown below?
Source diagram or notation
6406537043472.Source diagram or notation
6406537043473.
1
6406537043474.
0
6406537043475.
X

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Question 13 MCQ · 4.0 marks

If
Source diagram or notation
, where a and b are the bases of the respective numbers. What are the values of a and b?
6406537043476.
a = 3, b = 4
6406537043477.
a = 4, b = 5
6406537043478.
a = 5, b = 6
6406537043479.
a = 6, b = 7
6406537043480.
a = 7, b = 8

A published solution is not available for this question yet.

Report a correction for Q13