In the Boolean algebra, of the following one which is not equal to $A$ is

Question

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Answer 1

The truth table for AND gate is given as shown in the figure.
When $A$ is true, $\overset{ˉ}{A}$ is false and vice versa.
Hence value of $\overset{ˉ}{A} . A$ is always false(looking at the second and third row of the table) which is not equal to $A$ .
Hence, option C is the answer.

Answer 2

The truth table for AND gate is given as shown in the figure.
When

A

is true,

\overset{ˉ}{A}

is false and vice versa.

Hence value of

\overset{ˉ}{A} . A

is always false(looking at the second and third row of the table) which is not equal to

A

.

Hence, option C is the answer.