0

30. The substitution method may be applied as an aid in understanding

0

the basic laws of Boolean Algebra. For example, the law of

INTERSECTION, A(0) =0, could readily be applied to simplify the

TPZ (0) = 0

Substitute A for the term TPZ, and the expression becomes A(0) =.

From page 17 it is found that A(0) =0, according to the law of

INTERSECTION; therefore, TPZ(0) = 0.

Using the law of INTERSECTION below, simplify the following

Boolean expressions:

A(1) =A

A(0) =0

a. B(1) = ?

c. (BC+C) 0 = ?

b. 0 (D+F+RS) = ?

d. (Y+Z) 1 = ?

a. B

31. The law of UNION is similar to the law of intersection, with the

b. 0

exception that the law of UNION applies only to OR logic, as shown

c. 0

below.

d. (Y+Z)

LAW OF UNION