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ISRO 2007- ECE combinational logic circuit

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The combinational logic circuit shown in the given figure has an output Q which is

a) ABC

b) A+B+C

c)A ⊕ B ⊕ C
d) A. B+C

1 Answer

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4X1 MUX 

=CA'B'+A'B+AB'+AB=AB+AB'+A'B+A'B'C

=A+A'B+A'B'C=(A+A')(A+B)+AB'C'

= A+B+A'B'C = (A+A')(A+B'C)+B

=A+B'C+B=A+(B+B')(B+C) =A+B+C

ANS IS B

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