Chapter 4, Problem 38E

Explanation of Solution

Three ways to represent an OR 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
• OR gate:
  • An OR gate is represented in the following three ways:
  • The “Boolean expression” for OR gate:
    • The OR operation is expressed using the “+” plus sign.

  $\text{X}=\text{A}+\text{B}$

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

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

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