TechAmbitionX

Boolean Algebra Laws — TechAmbitionX Boolean Algebra Laws — TechAmbitionX Cheat-sheet: fundamentals + derived laws. Boolean algebra is the math of 0s and 1s . These rules let you simplify expressions and design efficient circuits. Fundamental Laws Identity: A + 0 = A , A · 1 = A Null / Domination: A + 1 = 1 , A · 0 = 0 Idempotent: A + A = A , A · A = A Complement: A + A' = 1 , A · A' = 0 Involution (Double negation): (A')' = A Algebraic Laws Commutative: A + B = B + A , A · B = B · A Associative: (A + B) + C = A + (B + C) , (A · B) · C = A · (B · C) Distributive: A · (B + C) = A · B + A · C , A + (B · C) = (A + B) · (A + C) Important Simplification Laws Absorption: A + (A · B) = A , A · (A + B) = A Complement / Complementarity: A + A' = 1 , A · A' = 0 De Morgan's Theorems: (A · B)' = A...