Simplify the following functions then, implement them with two$-$level NAND gate circuits:

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

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

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

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