How can I figure out Implement F $($c$,$x$,$ y$,$ z$)$ in standard SoP form, b$.$ Implement F $($a$,$x$,$ y$,$ z$)$ using only NOR gates. c$.$ Implement F $($w$,$x$,$ y$,$ z$)$ using a $4$x$1$ MUX and external gates.

Q$2.(30$ points$)$ Consider the $F(,x,y,z)$ function given according to the table below :

$\backslash$table$[[$no$,F(,x,y,z)$ implement F$($w$,$x $,$y $,$z$)$ using $4$x$1$ MUX and external gates