Question

Which is not a postulate of Boolean Algebra? law
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Answer 1

Answer:

Commutative, Associative and Identity element are postulates of Boolean algebra. Duality is not.

Answer 2

Answer:

Postulates and Theorems of Boolean Algebra

Assume A, B, and C are logical states that can have the values 0 (false) and 1 (true).

"+" means OR, "·" means AND, and NOT[A] means NOT A.

Postulates

(1)   A + 0 = A   A · 1 = A  identity

(2)   A + NOT[A] = 1   A · NOT[A] = 0  complement

(3)   A + B = B + A   A · B = B · A   commutative law

(4)   A + (B + C) = (A + B) + C   A · (B · C) = (A · B) · C   associative law

(5)   A + (B · C) = (A + B) · (A + C)   A · (B + C) = (A · B) + (A · C)   distributive law

Theorems

(6)   A + A = A   A · A = A  

(7)   A + 1 = 1   A · 0 = 0  

(8)   A + (A · B) = A   A · ( A + B) = A  

(9)   A + (NOT[A] · B) = A + B   A · (NOT[A] + B) = A · B  

(10)   (A · B) + (NOT[A] · C) + (B · C) = (A · B) + (NOT[A] · C)   A · (B + C) = (A · B) + (A · C)  

(11)   NOT[A + B] = NOT[A] · NOT[B]   NOT[A · B] = NOT[A] + NOT[B]   de Morgan's theorem