(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 .