Design a full adder with two $(41)$ multiplexers $($MUX$)$

$S_{(x+2)}=(dots),$

$C_{(x+2z)}=(dots).$

Draw the truth table for each function.

Use the variable $z$ for the MUX data inputs.

Connect the variables $x$ and $y$ to the MUX selection inputs $S_0$ and $S_1$ in the right order.