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Advanced (A Level)


19 - Boolean Algebra


03 - Association


Associative law of addition states that OR'ing more than two variables i.e. mathematical addition operation performed on variables will return the same value irrespective of the grouping of variables in an equation.

The Associative law using the OR operator can be written as:A+(B+C) = (A+B)+C

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Quick Reference

Commutative Law

(a) A + B = B + A
(b) A B = B A

 Associate Law

(a) (A + B) + C = A + (B + C)
(b) (A B) C = A (B C)

 Distributive Law

(a) A (B + C) = A B + A C
(b) A + (B C) = (A + B) (A + C)

 Identity Law

(a) A + A = A
(b) A A = A


 Redundance Law

(a) A + A B = A
(b) A (A + B) = A

(a) 0 + A = A
(b) 0 A = 0

(a) 1 + A = 1
(b) 1 A = A



 De Morgan's Theorem