F$1($W$,$X$,$Y$,$Z$)=$WZ$+$WX$+$X$$Y$+$YZ$$

$1.$ Using DeMorgans Law rewrite the function F$1$ in a form that can be implemented with only $2-$ and $4-$input NAND gates and inverters.

F$2($W$,$X$,$Y$,$Z$)=($W$$Y$)($XZ$)$

$2.$ Using DeMorgans Law rewrite the function F$2$ in a form that can be implemented with only $2-$input NOR gates and inverters.

Ensure that all of the inputs of the new expressions match those of the original equations