Problem

Solutions For Digital Design Chapter 2 Problem 2P

Step-by-Step Solution

Solution 1

(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 .

Add your Solution
Textbook Solutions and Answers Search