🔧

Logic Gates Properties

Jul 17, 2025

Overview

This lecture covers the properties of logic gates, specifically focusing on which gates follow properties like commutativity and associativity.

Properties of Logic Gates

  • Some logic gates have specific properties such as commutativity and associativity.
  • The AND gate and OR gate follow both the commutative and associative properties.
  • The associative property is followed by all gates except the universal gates (NAND and NOR).

Key Terms & Definitions

  • Logic Gate — A basic building block of digital circuits that performs a logical operation.
  • Commutative Property — The order of inputs does not affect the output (A * B = B * A).
  • Associative Property — Grouping of inputs does not affect the output ((A * B) * C = A * (B * C)).
  • Universal Gates — Gates (NAND and NOR) that can be used to create any other logic gate.

Action Items / Next Steps

  • Review which properties are followed by each logic gate.
  • Prepare examples showing commutative and associative properties for AND, OR, NAND, and NOR gates.