Boolean Algebra Axioms and Laws of Boolean Algebra Boolean algebra devised in 1864 by George Boole, is a system of mathematical logic. It is an algebraic system consisting of a set of element (0,1) associated with a Boolean variable and two binary operators AND and OR and a uniry operator NOT. In mathematics, an identity is a statement true for all possible values of its variable or variables. Axioms           AND Operation 0.0=0 0.1=0 1.0=0 1.1=1 2. OR Operation 0+0=0 0+1=1 1+0=1 1+1=1 3.  NOT Operation 0’ = 1 1’ = 0 Identities: In mathematics, an identity is a statement true for all possible values of its variable or variables. Identity Boolean Relation Symbol Additive Identity A + 0 = A A + 1 = 1 A  + A = A A + A’ = 1 Multiplicative Identity A . 0 = 0 A . 1 =