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State the Commutative law and prove it with the help of a truth table.

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Commutative law states that the interchanging of the order of operands in a Boolean equation does not change its result. 

Using OR operator → A + B = B + A 

Using AND operator → A * B = B * A 

Truth Table for Commutative Law

A B A+B
0 0 0
0 1 1
1 0 1
1 1 1

 

B A B+A
0 0 0
0 1 1
1 0 1
1 1 1

A + B = B + A

 

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