$3-8$ Simplify the following Boolean functions using five$-$variable maps:

$($a$)F(A,B,C,D,E)=(0,1,4,5,16,17,21,25,29)r{A}^{\text{'}}{B}^{\text{'}}{D}^{\text{'}}+A{D}^{\text{'}}E+B^{\text{'}}{C}^{\text{'}}{D}^{\text{'}}$

$($b$)F(A,B,C,D,E)=(0,2,3,4,5,6,7,11,15,16,18,19,23,27,31)$

$($c$)F=A^{\text{'}}{B}^{\text{'}}C{E}^{\text{'}}+A^{\text{'}}{B}^{\text{'}}{C}^{\text{'}}{D}^{\text{'}}+B^{\text{'}}{D}^{\text{'}}{E}^{\text{'}}+B^{\text{'}}C{D}^{\text{'}}+CD{E}^{\text{'}}+BD{E}^{\text{'}}$

$3-9$ Simplify the following Boolean functions in product of sums:

$($a$)F(w,x,y,z)=(0,2,5,6,7,8,10)$

$($b$)F(A,B,C,D)=(1,3,5,7,13,15)$

$($c$)F(x,y,z)=(2,3,6,7)$

$($d$)F(A,B,C,D)=(0,1,2,3,4,10,11)$