Exercise: $01$

Given the Boolean function

together with the don't care conditions

$d(A,B,C,D)=Ao+Bo+C.$

a$)$ Simplify $F$ in sum of products $($SOP$).$

b$)$ Implement F with one NAND gate only.

c$)$ Simplify F in product of sums $($POS$).$

d$)$ Implement F with two NOR gates only.$|$