GATE CS 2016 Set 1 — Question 40
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Digital Logic → Boolean Algebra & Logic Gates → Multiplexers & Demultiplexers
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Question
Consider the two cascaded 2-to-1 multiplexers as shown in the figure.
The minimal sum of products form of the output is

Correct answer
(D) QR + PQR
Solution
Let's analyze the circuit:First Multiplexer (MUX1):
- Select input:
- Input 0:
- Input 1:
- Output
- Select input:
- Input 0: (as indicated by the label on the wire connected to input 0)
- Input 1: Output of MUX1 ()
- Output
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