# Boolean Algebra Properties

Sep 8, 2023

I’ll take notes on the properties to memorize them.

`Property | AND | OR |`

Commutative | AB = BA | A + B = B + A |

Associative | (AB)C = A(BC) | (A+B)+C = A+(B+C) |

Distributive | A(B+C)=(AB)+(AC) | A+(BC) = (A+B)(A+C)|

Identity | A1 = A | A+0 = A |

Complement | A(A') = 0 | A+0 = A

DeMorgan's Law | (AB)' = A' + B' | (A+B)' = A'B'

Idempotent | AA = A | A+A = A

Boundedness | A0 = 0 | A+1 = 1

Involution | (A')' = A