GATE CS 2020 Set 1 — Question 29
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Digital Logic → Combinational Circuits → Multiplexers & Demultiplexers
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Question
A multiplexer is placed between a group of 32 registers and an accumulator to regulate data movement such that at any given point in time the content of only one register will move to the accumulator. The minimum number of select lines needed for the multiplexer is ________.
Correct answer
5 to 5
Solution
To select one register out of 32, we need a multiplexer with 32 inputs.
The number of select lines required for an -to-1 multiplexer is given by .
Here, .
.
Thus, 5 select lines are needed.
The number of select lines required for an -to-1 multiplexer is given by .
Here, .
.
Thus, 5 select lines are needed.
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