Exercise: $01$

Given the Boolean function

$F_{{?}_{?}}(A,B,C,D)={\displaystyle \underset{?}{\overset{?}{}}}(0,1,6,7,10,11)$

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.