Chapter 4, Problem 39E

Explanation of Solution

Three ways to represent an XOR 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 three types of methods to represent the processing of gates. They are:
  • 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
• 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.
• An XOR gate is represented in three ways:
• The “Boolean expression” for XOR gate:
• The XOR operation is expressed by using the “$\oplus$” symbol.

  $\text{X = A }\oplus \text{ B}$

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

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