12.
14. One of the applications of Boolean algebra is the simplification
(1) d.
of switching networks. For example, the switching network
(2) c.
shown below can be simplified to a circuit consisting of only one
(3) a.
switch which performs the same function.
(4) b.
13.
The switching network shown above is simplified as follows:
a. B
Step 1. Write the Boolean expression for the network.
b. O
A + AB
c. O
Step 2. Simplify the expression, using the basic laws of
d. L
Boolean algebra.
e. E
A + AB = original expression
f. A
A = result of absorption (A + AB = A)
g. N
Step 3. Draw the switching network which represents the
simplified expression.
1-11
IT 0346
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