Given that the inputs to

$0-1$ MUX, $I_0$ through $I_3,$ equal the following:

$I0=x+z$

$I1=x+z^{\text{'}}$

$I2=x^{\text{'}}{z}^{\text{'}}+xz$

$I3=x$

What is the output function of the MUX when connecting $w$ and $y$ to $S_1$ and $S_0,$ respectively.

Write $$ as $S$ with no spaces between characters. e$.$g$.S(1,3,4$dots$)$

$F=$