Question $1.$ SOP Karnaugh Maps $/10$ marks $/$

Karnaugh maps are often used to obtain simplified Sum of Product $($SOP$)$ expressions. Process each

of the SOP expressions below, using Karnaugh maps. Each expression uses canonical minterm notation

that may be used to fill in the K$-$map.

$F(x,Y,Z)={\displaystyle \underset{?}{\overset{?}{}}}m(0,2,5,7)$

$G(A,B,C,D)={\displaystyle \underset{?}{\overset{?}{}}}m(1,3,4,6,9,11,12,14)$

Question $2.$ POS Karnaugh Maps $/10$ marks $/$

Karnaugh maps are also used to obtain simplified Product of Sums $($POS$)$ expressions. Process each

of the expressions below, using Karnaugh maps. Each expression uses either canonical minterm $($SOP$)$

or canonical maxterm $($POS$)$ notation that may be used to fill in the K$-$map.

$H(x,Y,Z)=$prodM$(0,2,6)$

$L(A,B,C,D)={\displaystyle \underset{?}{\overset{?}{}}}m(4,6,7,15)$

Question $3.$ Don't Care Conditions in Karnaugh Maps $/10$ marks $/$

Simplify the Boolean function F together with the don't$-$care conditions dc in $(1)$ SOP form and $(2)$

POS form. Use the don't$-$care conditions to obtain expressions with the minimum number of literals.

$F(W,x,Y,Z)={\displaystyle \underset{?}{\overset{?}{}}}m(0,1,2,3,7,8,10)$

$dc(W,x,Y,Z)={\displaystyle \underset{?}{\overset{?}{}}}m(5,6,11,15)$

PLEASE I NEED HELP WITH ALL OF THESE QUESTIONS, IM BEGGING!