Question

If X=1 in the logic equation
$[X+Z\{\overline{Y}+(\overline{Z}+X\overline{Y}\left)\right\}]\{\overline{X}+\overline{Z}(X+Y\left)\right\}=1,$ then

• A. $Z=1$
• B. $Z=0$
• C. $Y=\overline{Z}$
• D. $Y=Z$

Answer 1

The correct option is B $Z=0$

Putting X=1 in the expression, we get,
$\Rightarrow \overline{Z}(1+Y)=1$
$\Rightarrow \overline{Z}=1$
$\Rightarrow Z=0$