Page 1090 - Basic Electrical Engineering

For row 4

Z = A.B

The Boolean expression for the output is

Example 16.13 The truth table for three variable inputs and single output
logic circuit is shown below. Note that for three inputs the combinations are
3
2 = 8. Construct the logic circuit using AND and OR gates.

Solution:

From observing the truth table we find that output is high, i.e., 1 for the

inputs at rows 1, 3, and 6. Inputs at A, B, and C is 1 and complement ,
is 0.

By writing the sum of all terms for which the output attains a high

Using the above Boolean expression, the logic circuit is drawn as in Fig.
16.12.