Given the Boolean functions $F$ and $G$ below:

$F(A,B,C)\frac{?}{b}=ar\frac{B}{b}ar(C)+AB$

$G(A,B,C)=(A+B)(B+C)(\frac{?}{\text{b}\text{a}\text{r}}(A)\frac{+}{b}ar(B))$

$($a$)$ Draw the PLA implementation of Boolean functions $F$ and $G$ that contains $3_{?}$ AND

gates.

$($b$)$ Draw the ROM implementation of functions $F$ and $G.$