43.

(Continued)

the (A + B) portion of the equation, with the result that A(A + B) = A.

Any Boolean expression in the form of A(A + B) can be simplified by

using the law of ABSORPTION. Any variable (or quantity) ANDed

with an ORed output which contains that variable (or quantity) will

absorb the ORed output. (Refer to the logic diagram on the

preceding page.) For example, the Boolean expression

(T + H + I + S) S can be simplified to a single S variable, because the

ORed output (T + H + I + S) contains the same S variable and is

effectively absorbed. Boolean expression AC(AC + ZECA + X YACP)

is simplified to AC, because all the terms within the ORed portion

of the expression contain the AC variables and are effectively

absorbed, leaving the simplified expression AC. Simplify the

following Boolean expressions, using the law of ABSORPTION.

a. A(A + W) =

b. AM(MA + THAM) =

c. (SW + WAST) WS =

d. (HR + ZXRH) HR =