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 200: 5

Answer

Since the truth table for $\mathrm{C}$ has 4 distinct inputs, there would be $2^{4}=16$ rows, representing the 16 possible inputs, 0000 to $1111 .$ There are 4 input columns (for $a, b, c, d )$ and 3 output columns (for output-1, output- 2 and output-3), for a total of 7 columns. Thus the dimensions of the truth table for circuit C would be $16 \times 7 .$

Work Step by Step

Since the truth table for $\mathrm{C}$ has 4 distinct inputs, there would be $2^{4}=16$ rows, representing the 16 possible inputs, 0000 to $1111 .$ There are 4 input columns (for $a, b, c, d )$ and 3 output columns (for output-1, output- 2 and output-3), for a total of 7 columns. Thus the dimensions of the truth table for circuit C would be $16 \times 7 .$
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