Q$2.$ Implement the function: $f(x,y,z)=\frac{\stackrel{}{x}}{b}ar(y)z+\stackrel{}{x}\frac{y}{b}ar(z)+x\frac{y}{b}ar(z)$ using:

$($Hint: it is wise to convert the function into the sum of minterm form; You are supposed to make three diagrams to implement the same function with the following three methods$)$

$(2)$ One $4$ to $1$ MUX $($control variables $x,y)($show the procedures$)(5$p$)($Hint: step $1$: find the selection lines and input line; step $2$: build the implementation table; step $3$: draw the logic circuit diagram$)$