$3\mathrm{.}16$ Simplify the following functions, and implement them with two$-$

level NAND gate circuits:

$F(A,B,C,D)=AC{D}^{\text{'}}+A^{\text{'}}C+$ABC$+A{B}^{\text{'}}C+A^{\text{'}}{C}^{\text{'}}{D}^{\text{'}}$

$F(A,B,C,D)=A^{\text{'}}{B}^{\text{'}}{C}^{\text{'}}D+CD+AC{C}^{\text{'}}D$

$F(A,B,C,D)=(A^{\text{'}}+C^{\text{'}}+D^{\text{'}})(A^{\text{'}}+C^{\text{'}})(C^{\text{'}}+D^{\text{'}})$

$F(A,B,C,D)=A^{\text{'}}+B+D^{\text{'}}+B^{\text{'}}C$

$3\mathrm{.}19$ Simplify the following functions, and implement them with two$-$

level NOR gate circuits:

$($a$)*F=w{x}^{\text{'}}+y^{\text{'}}{z}^{\text{'}}+w^{\text{'}}y{z}^{\text{'}}$

$($b$)F(w,x,y,z)=(0,3,12,15)$

$($c$)F(x,y,z)=[(x+y)(x^{\text{'}}+z){]}^{\text{'}}$

$3\mathrm{.}24$ Implement the following Boolean function $F,$ using the two$-$

level forms of logic $($a$)$ NAND$-$AND, $($b$)$ AND$-$NOR, $($c$)$ OR$-$NAND,

and $($d$)$ NOR$-$OR:

$F(A,B,C,D)=(0,4,8,9,10,11,12,14)$