Question

The MUX shown is 4 x 1 multiplexer,
The output for an input of A, B, C will be

• A. ABC
• B. $A\oplus B\oplus C$
• C. $A\odot B\odot C$
• D. A + B + C

Answer 1

The correct option is D A + B + C

From figure, $Z=\overline{A}\overline{B}C+\overline{A}B+A\overline{B}+AB$
$=\overline{A}(\overline{B}C+B)+A(\overline{B}+B)$
$=\overline{A}(\overline{B}C+B)+A$
$=(\overline{A}+A)(A+B+\overline{B}C)$
$=(A+[(B+\overline{B})(B+C)\left]\right)$
$=A+(B+C)$

Hence option D is correct