Answered: An 8 × 1 multiplexer has inputs A, B,…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

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Question

An 8 × 1 multiplexer has inputs A, B, and C connected to the selection inputs S 2 , S 1 , and S 0 , respectively. The data inputs I 0 through I 7 are as follows:
1. (a) I 1 = I 2 = I 7 = 0 ; I 3 = I 5 = 1 ; I 0 = I 4 = D ; and I 6 = D ′ .
2. (b) I 1 = I 2 = 0 ; I 3 = I 7 = 1 ; I 4 = I 5 = D ; and I 0 = I 6 = D′ . Determine the Boolean function that the multiplexer implements.

Expert Solution

Step 1

As per the data given,

Inputs of 8 × 1 multiplexer are A, B, and C.

Selection input of multiplexer are as- S2, S1, S0

Step 2

(i) As per the data given, the truth table is shown as

Hence the expression for Boolean function for the given multiplexer is as:-

F(A,B,C,D) = Ʃ (1,6,7,9,10,11,12)

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