Discrete Mathematics and Its Applications, Seventh Edition

Published by McGraw-Hill Education
ISBN 10: 0073383090
ISBN 13: 978-0-07338-309-5

Chapter 12 - Section 12.3 - Logic Gates - Exercises - Page 827: 4

Answer

Simplifying the following gate diagram

Work Step by Step

OUTPUT will follow the AND gate as (input 1 . input 2) as -inveted output of xyx in which x is followed by a inverter as -- ~(~xyz) -second input will follow NOR gate as inverted x and inverted y (~x+y+~z) --Answer will be ----(~xyz).(~x+y+~z)
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