Boolean Algebra, Duality Principle and Huntington postulates.
Lets start our Bollean Algebra discussions with Duality Principle:
The duality property of Boolean algebra state that all binary expressions remain valid when following two steps are performed:
Step 1 : Interchange OR and AND operators.
Step 2 : Replace all 1’s by 0’s and 0’s by 1’s.
Next lets discuss Huntington Postulates
P1. Postulate:-
Next
From duality of P1
P2. Postulate:-
Sum of a number and its complement from a Set is ‘1’.