Digital Circuit Analysis and Design with Simulink Modeling and Introduction to CPLDs and FPGAs, Second Edition

When a logic circuit is given, the Boolean expression describing that logic circuit can be obtained by combining the input variables in accordance with the logic gate functions. The procedure is best illustrated with the examples that follow.
For the logic circuit of Figure 7.19 find D = f(A, B, C), that is, express the output D in terms of the inputs A, B , and C. If possible, simplify the Boolean expression obtained, and implement it with a simplified logic diagram.
Solution:
We label the output of each gate as shown in Figure 7.20.
From Figure 7.20
The simplified logic diagram is shown in Figure 7.21.