Huntington Postulates

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