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
following Boolean expression:
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
IT 0344
1-18
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