a. A

44.

The equation A+(AB) =A, pertaining to the law of ABSORPTION, is

b. AM

shown below with the corresponding logic diagram and truth table.

c. WS

d. HR

As shown by the truth table above, the AND-gate input A and the

OR-gate output A+(AB) are equal (identical) in every case.

Therefore, A+(AB) is equal to A. Any Boolean expression in the

form of A+ (AB) can be simplified by using the law of

ABSORPTION. Any variable or quantity ORed with an ANDed

output which contains that variable or quantity will absorb the

ANDed output. (Refer to the logic diagram above.) For example,

the Boolean expression C+(XDC) can be simplified to a single C

variable, because the ANDed output (XDC) contains the same C

variable and is effectively absorbed.

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