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: 4

Answer

The truth table is already given. There are two cases with a 1 bit in the output, occurring in rows 1 and $4 .$ The corresponding subexpressions are: Case 1: $\quad \overline{a} \cdot \overline{b}$ Case $2 : \quad a \cdot b$ The final Boolean expression is $\overline{a} \cdot \overline{b}+a \cdot b$ and the circuit diagram is

Work Step by Step

The truth table is already given. There are two cases with a 1 bit in the output, occurring in rows 1 and $4 .$ The corresponding subexpressions are: Case 1: $\quad \overline{a} \cdot \overline{b}$ Case $2 : \quad a \cdot b$ The final Boolean expression is $\overline{a} \cdot \overline{b}+a \cdot b$ and the circuit diagram is
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