Part $1$: $[35$ pts$]$

A circuit has two outputs given by functions $F$&$G$ as shown below.

$F(w,x,y,z)={\displaystyle \underset{?}{\overset{?}{}}}m(0,1,4,5,8,9,10,12,13)$

$G(w,x,y,z)={\displaystyle \underset{?}{\overset{?}{}}}m(3,5,7,8,10,11,13,15)$

Design and implement this circuit using minimum number of NAND gates un$,$

Obtain a truth table for functions $F$ and $G.[5$ pts$]$

Obtain the most simplified SOP expression for the two functions. $[20$ pts $]$

Draw the logic diagram for the two functions TOGETHER $($showing $4$ inputs and $2$ outputs$)$ using

minimum number of NAND gates. No other gate can be used. $[10$ pts$]$ solve all $1,2,3$ I have final please all