0 + A = A
1 + A = 1
A + A = A
1 . x = 1 E. None of the above
Answer is Right!
Answer is Wrong!
The correct answer is: A. 0 + A = A
In Boolean algebra, 0 is the false value and 1 is the true value. Therefore, the rule $0 + A = A$ is wrong because $0 + A$ is always false, regardless of the value of $A$.
The other rules are all correct.
- $1 + A = 1$: This is true because $1$ is always true, so adding it to anything will not change its value.
- $A + A = A$: This is true because $A$ is either true or false, so adding it to itself will not change its value.
- $1 . x = 1$: This is true because $1$ is always true, so multiplying it by anything will not change its value.
Therefore, the only rule that is wrong is $0 + A = A$.