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:
![70_principle of duality1.png](https://www.expertsmind.com/../CMSImages/70_principle of duality1.png)
T8 :
![2338_principle of duality2.png](https://www.expertsmind.com/../CMSImages/2338_principle of duality2.png)
T9 :
(a) 0 + A = A
(b) 1 A = A
(c) 1 + A = 1
(d) 0 A = 0
T10 : De Morgan's Theorem
![314_principle of duality3.png](https://www.expertsmind.com/CMSImages/314_principle%20of%20duality3.png)
By using theorems,
![2279_principle of duality4.png](https://www.expertsmind.com/../CMSImages/2279_principle of duality4.png)
By using truth table,
![2176_principle of duality5.png](https://www.expertsmind.com/../CMSImages/2176_principle of duality5.png)
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