A MUX takes in multiple inputs and outputs only a single input based on additional inputs referred to as select

lines. The following image depicting a $4$ to $1(41)$ MUX was presented in your book:

As can be seen by the truth table the select lines determine which input is passed through the MUX and outputted. As such, the number of inputs determines the number of select lines that are needed.

For this task you are asked to consider the following $4-$variable Boolean function:

$f(w,x,y,z)=zw+x^{\text{'}}y+y^{\text{'}}w+x^{\text{'}}z$

Show the realization of the function using a $16-1$ MUX. Show all your work including your initial truth table.

It is possible to also implement this function using an $8-1$ MUX. Show one way it can be done $($there are $4$

ways it can be done$).$