Answered: F = P.SP.Q.S + P.Q.S G = F.P + R.P +…

F = P.SP.Q.S + P.Q.S G = F.P + R.P + (P+S). (P + Q). R Note that G is a function of F, which is given by the first equation. Finally, simplify: H = F. G

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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Question

1. Use algebraic techniques to simply the following Boolean
equations in terms of the variables P, Q, R and S.

2. Use the smallest possible multiplexer to implement the simplified Boolean expression H that you obtained in 1(a). Note that H should be expressed in terms of the input variables P, Q, R and S.

F = P.SP.Q.S + P.Q.S
G = F.P + R.P + (P+S). (P + Q). R
Note that G is a function of F, which is given by the first equation.
Finally, simplify:
H = F. G

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