Invitation to Computer Science 8th Edition

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

Chapter 4 - 4.2 - The Binary Numbering System - Practice Problems - Page 175: 7

Answer

The number of bits required per song is: $44,100$ samples/sec $\times 16$ bits/sample $\times 180$ sec/song $\times 0.1$ (compression) $=12,700,800$ bits/song $=1,587,600$ bytes/song (at 8 bits/byte) If there are 16 $\mathrm{GB}$ available on your smartphone for music storage, then the total number of songs that can be stored is approximately: $16 \times 10^{9} / 1.587 \times 10^{6}=10,080$ songs

Work Step by Step

The number of bits required per song is: $44,100$ samples/sec $\times 16$ bits/sample $\times 180$ sec/song $\times 0.1$ (compression) $=12,700,800$ bits/song $=1,587,600$ bytes/song (at 8 bits/byte) If there are 16 $\mathrm{GB}$ available on your smartphone for music storage, then the total number of songs that can be stored is approximately: $16 \times 10^{9} / 1.587 \times 10^{6}=10,080$ songs
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