I$/$ Consider the function $G(W,x,Y)=(0,1,3,7).$ Assume $Y$ is the LSB

a$)(5$ points$)$ Write the truth table of G$.$

b$)(10$ points$)$ Write the logic expression of $G$ in the Product$-$of$-$Sum $($POS$)$ form.

c$)(10$ points$)$ Synthesize the logic expression found in part $($b$)$ above using AND$/$OR$/$NOT gates.

d$)(10$ points$)$ Transform the logic network found in part $($c$)$ above using only NOR gates. Note: You need to use the NOR gate to design the NOT functionality.

e$)(5$ points$)$ Write a Verilog module that describes the expression of $G$ using the "assign" statement.