(a)
Consider the expression:
Take the x common from both terms.
Note: 
Therefore the simplified Boolean expression to a minimum number of literals is
.
(b)
Consider the expression:
Open the parenthesis of first term
to do multiplication.
Note: 
Therefore the simplified Boolean expression to a minimum number of literals is
.
(c)
Consider the expression:
Take xy common from first term xyz and last term xyz’
Therefore the simplified Boolean expression to a minimum number of literals is
.
(d)
Consider the expression:
Open the parenthesis of first term
to do multiplication.
Note: From DeMorgan’s theroerm, we have
Therefore the simplified Boolean expression to a minimum number of literals is
.
(e)
Consider the expression:
Open the parenthesis of first term
to do multiplication.
Therefore the simplified Boolean expression to a minimum number of literals is
.
(f)
Consider the expression:
Take
common from the terms
and
from
.
Therefore the simplified Boolean expression to a minimum number of literals is
.