G$.$ Fill$-$in the below truth table for the following equation.

$[1$ pt$]$

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

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

$\backslash$table$[[$A$,$B$,$F$,$G$],[0,0,,],[0,1,,],[1,0,,],[1,1,,]]$

H$.$ Using Boolean algebra, prove that

$[1$ pt$]$

$A+A^{\text{'}}{B}^{\text{'}}+A^{\text{'}}B{C}^{\text{'}}=A+B^{\text{'}}+C^{\text{'}}$