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Q.

In the boolean algebra, $(A \cdot B) \cdot A$ equal to

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a

A + B

b

$A \cdot B$

c

A

d

$A + B$

answer is B.

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Detailed Solution

$(A \cdot B) \cdot A = (A + B) \cdot A = (A + B) \cdot A$

$= A \cdot A + A \cdot B = A + A \cdot B = A (1 + B) = A$

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In the boolean algebra, A·B·A equal to