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$)$

$(1)$ Decoder and NAND gates $($show the procedures$)(5$p$)$