Question

A $4\times 1$ MUX is used to implement a 3-input Boolean function as show in figure. The Boolean function P( A, B, C) implemented is

• A. $P(A,B,C)=\sum m(3,5,6)$
• B. $P(A,B,C)=\sum m(1,5,6)$
• C. $P(A,B,C)=\sum m(2,4,5,6)$
• D. $P(A,B,C)=\sum m(1,3,5,6)$

Answer 1

The correct option is D

$P(A,B,C)=\sum m(1,3,5,6)$

$F=\overline{A}BC+AB\overline{C}+\overline{B}C$$=\overline{A}BC+AB\overline{C}+\overline{A}\overline{B}C+A\overline{B}C$
$=\sum m(1,3,5,6)$