1.

State and prove the idempotent law using truth table. Idempotent law

Answer»

Idempotent law states that

1. A + A = A and 

2. A . A = A 

Proof

1. A + A = A 

Truth table is as follows: 

AAA + A
000
111

ie. A + A = A as it is true for both values of A. 

Hence proved. 

2. A . A = A 

Truth table is as follows: 

AAA +A
000
111

ie. A . A = A itself. It is true for both values of A. 

Hence proved.



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