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.

Exercise: $02$

Simplify the following Boolean functions, using fourvariable maps:

$($a$)*F(w,x,y,z)={\displaystyle \underset{?}{\overset{?}{}}}(1,4,5,6,12,14,15)$

$($b$)F(A,B,C,D)={\displaystyle \underset{?}{\overset{?}{}}}(2,3,6,7,12,13,14)$

$($c$)F(w,x,y,z)={\displaystyle \underset{?}{\overset{?}{}}}(1,3,4,5,6,7,9,11,13,15)$

$($d$)F(A,B,C,D)={\displaystyle \underset{?}{\overset{?}{}}}(0,2,4,5,6,7,8,10,13,15)$