Question

Construct the truth table for a three-input XOR-gate.

   Construct the truth table for a three-input XOR-gate.

Essentials of Electrical and Computer Engineering

Essentials of Electrical and Computer Engineering

David V. Kerns, Jr.,… 1st Edition

Chapter 14, Problem 5

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The inputs will be labeled as A, B, and C. Each input can take a value of either 0 (false) or 1 (true). Show more…

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Construct the truth table for a three-input XOR-gate.

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Key Concepts

Boolean Algebra

Boolean algebra is the branch of algebra that deals with variables having two possible values—true or false—and is used to analyze and simplify logical expressions and digital circuits. It provides the mathematical framework underpinning logic gates, including the XOR gate, and allows for systematic reasoning about logical functions.

XOR Gate

An XOR (exclusive OR) gate is a digital logic gate that outputs true only when an odd number of its inputs are true. It contrasts with the standard OR gate by excluding the case when all inputs are true, embodying an 'either but not both' condition in its logic.

Truth Table

A truth table is a tabular method used in logic, digital electronics, and computer science to list all possible input combinations and their corresponding output for a given logical function or circuit. It serves as a fundamental tool for analyzing and understanding how logical operations behave across all possible scenarios.

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