Q$2](40$ points$)$ Consider the following function: F$($w$,$x$,$y$,$z$)=(0,2,4,6,8,9,10,11,12).$ Use the k$-$map to: a$)$ Simplify the function into SOP expression and then implement it using NAND gates only. b$)$ Simplify the function into POS expression and then implement it using NOR gates only.Q$2](40$ points$)$ Consider the following function: $F(w,x,y,z)={\displaystyle \underset{?}{\overset{?}{}}}(0,2,4,6,8,9,10,11,12).$

Use the k$-$map to:

a$)$ Simplify the function into SOP expression and then implement it using NAND

gates only.

b$)$ Simplify the function into POS expression and then implement it using NOR gates

only.