a. (K + L)(K + M)

42.

b. R + ST

law.

c. (T + X)(V + X)

a. W + ZXY

b. RS + STV + PSX

d. (J + K)(J + L)

c. DE(F + G + H)

d. X + RHS

(J + M)

a. (W + Z)(W + X)

43.

There are two equations pertaining to the law of ABSORPTION:

(W + Y)

A(A + B) =A and A+(AB) =A. How a single variable effectively absorbs

b. S(R + TV + PX)

other variables may appear confusing; however, the explanation

c. DEF + DEG +

DEH

below, which uses logic diagrams and truth tables, will prove that the

d. (X + R)(X + H)

(X + S)

equations are, in fact, valid. Since the law of ABSORPTION is often

used in simplifying Boolean expressions, carefully study the

following:

The A input column of the truth table above and the A(A + B) output

column are equal (identical) in every case; therefore, A(A + B) is

equal to A. In other words, the A variable has effectively absorbed