GATE | GATE CS 2010 | Question 65

The Boolean expression for the output ‘f’ of the multiplexer shown below is

(A) (P(XOR)Q(XOR)R)’
(B) P(XOR)Q(XOR)R
(C) (P+Q+R)’
(D) P+Q+R


Answer: (B)

Explanation: For 4 to 1 mux truth table

SEL                  INPUT                 O/P

Q	P	R	R’	R’	R	F
0	0	X	X	X	1	1
0	1	X	X	1	X	1
1	0	X	1	X	X	1
1	1	1	X	X	X	1

p’q’r+p’qr’+pq’r’+pqr

pXORqXORr

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