Boolean Algebra Tutorial

Master the mathematical foundation of digital logic with boolean algebra laws, theorems, and practical applications.

Basic Operations

  • AND (·): A · B = 1 if both A and B are 1
  • OR (+): A + B = 1 if A or B (or both) are 1
  • NOT (¬): ¬A = 1 if A is 0, and vice versa

Boolean Laws

  • Identity: A + 0 = A, A · 1 = A
  • Null: A + 1 = 1, A · 0 = 0
  • Idempotent: A + A = A, A · A = A
  • Complement: A + ¬A = 1, A · ¬A = 0