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: ____________________________________