Find the corresponding logic gate giving the output waveform (X) in proper relation to the inputs within this timing diagram *

Introductory Circuit Analysis (13th Edition)
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Publisher:Robert L. Boylestad
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10:51 M
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2
F = ābc + ābc + ābī
F = ābc + abc + abc + abc
11
Find the corresponding logic gate giving the
output waveform (X) in proper relation to the
inputs within this timing diagram *
Entrez votre réponse
12
What is the difference between a full-adder
and a half-adder? *
Transcribed Image Text:10:51 M forms.office.com/Pages/Re 2 F = ābc + ābc + ābī F = ābc + abc + abc + abc 11 Find the corresponding logic gate giving the output waveform (X) in proper relation to the inputs within this timing diagram * Entrez votre réponse 12 What is the difference between a full-adder and a half-adder? *
Expert Solution
Step 1

From the given timing diagram:

Electrical Engineering homework question answer, step 1, image 1

It can be concluded that when all the three inputs are zero (0), the output X is one (1) and when all the three inputs are one (1), the output X is zero (0).

Step 2

All the conditions of the input illustrated in the timing diagram are shown in the truth table below:

Electrical Engineering homework question answer, step 2, image 1

From the truth table, the output X can be written as:

X=A'B'C'+A'BC+AB'C+ABC'X=ABC

This is the expression of logic gate XNOR i.e., Exclusive-NOR gate.

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