Principle of duality

1. Interchanging AND and OR operations of expression.

2. Interchanging 0 and 1 elements of expression.

3. Not changing form of variables.

T1: Commutative Law

(a) A + B = B + A

(b) A B = B A

T2: Associative Law

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

(b) (A B) C = A (B C)

T3: Distributive Law

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

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

T4: Identity Law

(a) A + A = A

(b) A A = A

T5: Negation Law
 

T6: Redundance Law

(a) A + A B = A

(b) A (A + B) = A

T7:

T8 :

T9 :

(a) 0 + A = A

(b) 1 A = A

(c) 1 + A = 1

(d) 0 A = 0

T10 : De Morgan's Theorem

By using theorems,

By using truth table,

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