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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.
Adding a number to ‘0’ :
P1. Postulate:- x + 0 = x, next From duality of P1
P2. Postulate:- x * 1 = x
Sum of a number and its complement from a Set is ‘1’.
P3. Postulate:- x + x’= 1, next From duality of P3
P4. Postulate:- x * x’ = 0
From commutative property of binary numbers we have:-
P5. Postulate:- x + y = y + x
From duality of P5
P6. Postulate:- x * y = y * x
From distributive property of binary numbers we have:-
P7. Postulate:- x(y + z) = xy + xz
From duality of P7
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