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 209: 2

Answer

The truth table for this circuit would be as follows: $\begin{array}{llll}{a} & {b} & {\text { Output }} \\ {0} & {0} & {0} \\ {0} & {1} & {0} \\ {1} & {0} & {1} \\ {1} & {1} & {0}\end{array} \quad$ (because $a$ is greater than $b )$ There is only one case where there is a 1 bit in the output. It is in the third row and corresponds to the following Boolean expression: $a \cdot \overline{b}$ We can skip Step 3 because with only one case, there is no combining of Boolean expressions. Thus, the circuit diagram for this circuit is

Work Step by Step

The truth table for this circuit would be as follows: $\begin{array}{llll}{a} & {b} & {\text { Output }} \\ {0} & {0} & {0} \\ {0} & {1} & {0} \\ {1} & {0} & {1} \\ {1} & {1} & {0}\end{array} \quad$ (because $a$ is greater than $b )$ There is only one case where there is a 1 bit in the output. It is in the third row and corresponds to the following Boolean expression: $a \cdot \overline{b}$ We can skip Step 3 because with only one case, there is no combining of Boolean expressions. Thus, the circuit diagram for this circuit is
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