Question

State the fundamental axioms of Boolean algebra.

Answer 1

The fundamental axioms are:

1. Closure: Boolean operations on Boolean values produce a Boolean value.
2. Identity: [A + 0 = A] and [A . 1 = A].
3. Commutativity: [A + B = B + A] and [AB = BA].
4. Distributivity: [A(B + C) = AB + AC] and [A + BC = (A + B)(A + C)].
5. Complement: [A + A' = 1] and [AA' = 0].