GATE CS 2023 Set 1 — Question 44
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Digital Logic → Combinational Circuits → Multiplexers & Demultiplexers
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Question
A Boolean digital circuit is composed using two 4-input multiplexers (M1 and M2) and one 2-input multiplexer (M3) as shown in the figure. are the inputs of the multiplexers M1 and M2 and could be connected to either 0 or 1. The select lines of the multiplexers are connected to Boolean variables , and as shown.
Which one of the following set of values of will realise the Boolean function ?
Correct answer
(C) (1, 1, 0, 1, 1, 1, 0, 0)
Solution
The output of the circuit is .
From the diagram:
Expanding to include and :
Comparing this with :
From the diagram:
Expanding to include and :
Comparing this with :
1.
2.
Thus, the required set of values is , which corresponds to option (B).Continue learning with Success Tracker
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