10.

(Continued)

In the preceding diagram, the truth table represents the switching network and lists all

possible combinations of switches A and B. An open switch is represented by a 0; a

closed switch, by a 1; therefore, their truth values are either 0 or 1. The truth table shows

that both switches must be closed (1) before the lamp will light. The Boolean expression

for this condition is AB (read A and B). A truth table is a chart of a logic function which

lists all possible combinations of

values and indicates the

value for each input combination.

input

11.

In Boolean algebra, the two possible values for any variable are

true output

a. yes and no.

b. 10 and 01.

c. true and false.

d. 0 and 1.

d.

12.

It is possible to construct a truth table for a logic diagram containing any number of

inputs. The simplest way to determine the number of possible input combinations is to

use the number of inputs as an exponent of the number 2. For example, a truth table for a

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