Invitation to Computer Science 8th Edition

Published by Cengage Learning
ISBN 10: 1337561916
ISBN 13: 978-1-33756-191-4

Chapter 4 - 4.4 - Building Computer Circuits - Practice Problems - Page 199: 1

Answer

The four separate cases are $\overline{a} \cdot \overline{b} \cdot \overline{c} \quad \overline{a} \cdot b \cdot \overline{c} \quad \overline{a} \cdot b \cdot \mathrm{c}$ Combining them by using the OR operator produces the following Boolean expression: $\overline{a} \cdot \overline{b} \cdot \overline{c}+\overline{a} \cdot b \cdot \overline{c}+\overline{a} \cdot b \cdot c+a \cdot b \cdot \overline{c}$ When this Boolean expression is represented as a Boolean diagram, it appears as follows: $$continue\ solution\ by\ seeing \ the\ following\ image:$$
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Work Step by Step

The four separate cases are $\overline{a} \cdot \overline{b} \cdot \overline{c} \quad \overline{a} \cdot b \cdot \overline{c} \quad \overline{a} \cdot b \cdot \mathrm{c}$ Combining them by using the OR operator produces the following Boolean expression: $\overline{a} \cdot \overline{b} \cdot \overline{c}+\overline{a} \cdot b \cdot \overline{c}+\overline{a} \cdot b \cdot c+a \cdot b \cdot \overline{c}$ When this Boolean expression is represented as a Boolean diagram, it appears as follows: $$continue\ solution\ by\ seeing \ the\ following\ image:$$
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