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3.1 Use Boolean theory to shorten the equation X= (M+N)(M+P)(N+P).

3.1 Use Boolean theory to shorten the equation X= (M+N)(M+P)(N+P).

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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3.1 Use Boolean theory to shorten the equation X= (M+N)(M+P)(N+P).
Transcribed Image Text:3.1 Use Boolean theory to shorten the equation X= (M+N)(M+P)(N+P).
Expert Solution
Step 1

To solve above problem, one should understand AND, OR and NOT gate.

For AND gate

An AND gate will only give output 1 when all of its inputs don't matter how many in number each should be one then we will get 1 at output of AND gate otherwise zero.

Y=A.B

For OR gate

If any of the input of OR gate is 1 (any one or more than one input is one) then the output of OR gate is zero, if all the inputs of OR gate is zero then its output will be zero.

Y=A+B

For NOT gate

If input of NOT is 1 it will give out 0 or its input is 0 it will give out 1.

Y=A¯

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