Chapter 1.4, Problem 10QE

Explanation of Solution

Determine the size of the encoded version of the stereo recording and compare to the CD storage capacity:

The recording is encoded at a sample rate of $44100\text{samples}/\text{sec}$.

• The recording is done for one hour and in an hour there are $3600\text{s}$.

$\begin{array}{c}\text{Number of samples in one hour}=44100\times 3600\\ =158760000\text{samples}\end{array}$

• In stereo recording, $1$ sample takes $32\text{bits}$ of space.
• Number of bits required to store $158760000\text{samples}$,

$\begin{array}{c}\text{Number of bits}=158760000\end{array}$