GATE EC 2014 Set 4 — Question 50
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Digital Circuits → Combinational Logic → MUX, DEMUX, Decoders & Encoders
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Question
An 8-to-1 multiplexer is used to implement a logical function as shown in the figure. The output is given by
Correct answer
(C) Y = A B C + A C D
Solution
The output of an 8-to-1 multiplexer is given by , where are the minterms of the select lines and are the inputs. From the figure, the select lines are . The inputs are:
.
Substituting these into the expression for :
This matches option (C).
.
Substituting these into the expression for :
This matches option (C).
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