Question $5(48\%)-$ Consider the following Boolean functions:

$F_1(x,y,z,w)\frac{?}{b}=ar(w)x(\frac{?}{\text{b}\text{a}\text{r}}(z)\frac{+}{b}ar(y)z)+x(w\frac{+}{b}ar(w)yz)$

$F_2(A,B,C,D)=AB{C}^{\text{'}}D+A^{\text{'}}BD+$ABCD

$F_3(x,Y,Z)=x.Y+x(Z\frac{+}{b}ar(Y))$

For each function, you need to do the following:

a$.$ Simplify the function to the minimum number of terms?

b$.$ Show the truth table that represents the simplified function.

c$.$ Build the logic circuit that represents the simplified function?