a. D
46.
Signs of grouping must be observed when applying the law of
b. K
ABSORPTION. For example, in the Boolean expression
c. T
(ABC+AB+D)(A+B), there are two separate groups i.e.,
d. V+W
(ABC+AB+D) and (A+B). The variables in group (A+B) cannot be
used to simplify the (ABC+AB+D) portion of the expression.
However, the law of ABSORPTION can be used to absorb
effectively a portion of group (ABC+AB+D) as follows:
(ABC+AB+D)(A+B)
ABSORPTION
(AB+D)(A+B)
Simplify the following Boolean expression, using the basic laws
listed.
(MJK+G+K+GGK)(G+KH+LG+K)
a. (MJK+G+K+GK)
a. IDEMPOTENT: ___________________ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
(G+KH+LG+K)
b. (G+K)(G+K)
b. ABSORPTION: ____________________________________
c. (G + K)
d. G + K
c. IDEMPOTENT: ____________________________________
d. ASSOCIATIVE: ____________________________________
IT 0344
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