COMPUTER SCIENCE ILLUMINATED
COMPUTER SCIENCE ILLUMINATED
7th Edition
ISBN: 9781284208047
Author: Dale
Publisher: JONES+BART
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Chapter 4, Problem 37E

Explanation of Solution

Three ways to represent a AND gate:

  • A gate is a device which is used to perform the basic logical operation.
  • It accepts one or more input signals and produces the single output signal.
  • It contains the following three types of methods to represent the processing of gates:
    • Boolean expressions
    • Logic diagrams
    • Truth tables
  • It contains several types of gates. The most common types are:
    • NOT gate
    • AND gate
    • OR gate
    • XOR gate
    • NAND gate
    • NOR gate
  • AND gate:
    • An AND gate is represented in three ways:
    • The “Boolean expression” for AND gate:
      • The AND operation is expressed using the “.” dot operator or “*” asterisk operator.

        X = A  B     or      X = A * B

  Where, A and B are the inputs and X is the output.

  • The “logic diagram” for AND gate:
    • It takes two inputs and generates a single output:

Where, A and B are the inputs and X is the output

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