Boolean Postulates and Theorem Digital Logic and Computer Design by Ravinder Nath Rajotiya - September 22, 2022December 16, 20220 BOOLEAN POSTULATES and THEOREM Boolean algebra was introduced by George Boole in 1854. Boolean algebra is used to perform binary and logical operations and differs in this respect from the ordinary algebra. Postulates of Boolean Algebra 1. Identity Law : A + 0 = A A.1 = A 2. Commutative Law: (A+B) = (B+A) A.B = B.A 3. Associative Law: A + (B + C) = (A + B) + C A.(B.C) = (A.B).C 4. Distributive Law: A . (B + C) = A.B + A.C A + (B.C) = (A + B). (A + C) 5. Complement Law: A+A’ = 1 A.A’ = 0 Boolean Algebra Theorems 1. Duality Theorem: It states that we can derive a Boolean relation from another Boolean relation by just : i. Changing the ‘.’ With a ‘+’