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 =
IT 0344
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