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.

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