Factor to obtain a product of sums:(c) AB+ A'B'C + B'C'D + BC'D'(d) A'C'D + AB'D' + A'CD' + BD(e) WXY+ WX'Y+ WYZ+ XYZ'

Answered: Factor to obtain a product of sums: (c)…

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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Factor to obtain a product of sums:
(c) AB+ A'B'C + B'C'D + BC'D'
(d) A'C'D + AB'D' + A'CD' + BD
(e) WXY+ WX'Y+ WYZ+ XYZ'

Expert Solution

Step 1

It is given that:

$c) A B + A' B' C + B' C' D + B C' D' d) A' C' D + A B' D' + A' C D' + B D e) W X Y + W X' Y + W Y Z + X Y Z'$

Step 2

$According to De Morgan' s law : (A + B)' = A' B' . . . . . . (1) (A' + B') = (A B)' . . . . . . (2) A' B' = (A + B)' . . . . . . (3) (A B)' = (A' + B') . . . . . . (4)$

Step 3

$c) p = A B + A' B' C + B' C' D + B C' D' Simplifying the expression using equation 3 of Demorgan' s law : p = (A' + B')' + (A + B + C')' + (B + C + D')' + (B' + C + D)' further Simplifying the expression using equation 2 of Demorgan' s law : p = ((A' + B') (A + B + C') (B + C + D') (B' + C + D))'$

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