Boolean Algebra Rules
| Rule Type | Rule Description |
|---|---|
| Identity Laws | AND Identity: A · 1 = A OR Identity: A + 0 = A |
| Null Laws | AND Null: A · 0 = 0 OR Null: A + 1 = 1 |
| Domination Laws | AND Domination: A · A' = 0 OR Domination: A + A' = 1 |
| Idempotent Laws | AND Idempotent: A · A = A OR Idempotent: A + A = A |
| Commutative Laws | AND Commutative: A · B = B · A OR Commutative: A + B = B + A |
| Associative Laws | AND Associative: (A · B) · C = A · (B · C) OR Associative: (A + B) + C = A + (B + C) |
| Distributive Laws | AND Distributive: A · (B + C) = (A · B) + (A · C) OR Distributive: A + (B · C) = (A + B) · (A + C) |
| De Morgan's Laws | AND De Morgan: (A + B)' = A' · B' OR De Morgan: (A · B)' = A' + B' |
| Absorption Laws | AND Absorption: A · (A + B) = A OR Absorption: A + (A · B) = A |