Question

$\text{Consider the MUX circuit shown in the figure below;}\text{the output function 'f' can be represented as}$

• A. $\overline{X}⨁Y$
• B. $X+Y$
• C. $X.\overline{Y}$
• D. $\overline{X}\overline{Y}+\overline{X}$

Answer 1

The correct option is B $X+Y$

$f=X\left(\overline{X}\overline{Y}\right)+Y\left(\overline{X}Y\right)+X\left(X\overline{Y}\right)+Y\left(XY\right)=X\overline{Y}+\overline{X}Y+XY=\overline{X}Y+X(Y+\overline{Y})=X+Y$