COMPUTER SCIENCE ILLUMIN.-TEXT
COMPUTER SCIENCE ILLUMIN.-TEXT
7th Edition
ISBN: 9781284156010
Author: Dale
Publisher: Jones & Barlett
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Chapter 4, Problem 73E

Explanation of Solution

Boolean expression for XOR gate using the other operators:

XOR gate:

  • An XOR gate accepts two inputs and produces a single output.
  • When both the inputs are same, then the output is 0. Otherwise, the output is 1.
  • The “Boolean expression” for XOR gate:
    • The XOR operation is expressed by using the “” symbol.

  X = A  B

  Where “A” and “B” are the inputs and “X” is the output.

  • Truth table for the above expression for XOR gate:
ABX = AB
000
011
101
110

Boolean expression for XOR gate using “AND” and “OR” gate:

  • The Boolean expression for XOR gate is expressed using the “AND” gate and “OR” gate operators:

  X = AB¯ + A¯B

Where “A” and “B” are the inputs and “X” is the output.

  • Truth table for the above expression for XOR gate:
ABA¯B¯AB¯A¯BX = AB¯ + A¯B

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