GATE | GATE-CS-2001 | Question 37

Consider the circuit shown below. The output of a 2:1 Mux is given by the function (ac’ + bc).


GATECS2001Q35 

Which of the following is true?
(A) f = x1’+ x1x
(B) f = x1’x2 + x1x2′
(C) f = x1x2 + x1’x2′
(D) f = x1 + x2′


Answer: (C)

Explanation:
g = (a and x1′) or (b and x1)
g = (1 and x1’) or (0 and x1)
g = x1’

f = ac’ + bc
f = (a and x2′) or (b and x2)
f = (g and x2′) or (x1 and x2)
f = x1’x2’ + x1x2

 
Thus, option (C) is the answer.

 
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