Chapter 4, Problem 32E

Explanation of Solution

Methods to express the processing of gates and circuits:

• A gate is a device which is used to perform the basic logical operation.
• It accepts one or more input values and generates the single output value.
• The circuit is a combination of the gates to achieve a difficult logical operation.
• There are three different types to express the processing of gates and circuits. They are,
  • Boolean expressions
  • Logic diagrams
  • Truth tables
• Boolean expression:
  • The Boolean expression is a mathematical notation to express the processing of gates and circuits.
  • For example:
    • Boolean expression for the NOT gate:

      $\text{X = }\overline{\text{A}}$

• Logic diagram:
  • The logic diagram is a graphical representation of the circuits to express the processing of gates and circuits