Question

In a CD player, the sampling rate is 44.1 kHz and samples are quantized using a 16 bit quantizer. The resulting number of bits for a piece of music with a duration of 1 minute is equal to

• A. $21.168\times {10}^6$ bits
• B. $1.4112\times {10}^6$ bits
• C. $42.336\times {10}^6$ bits
• D. $705.6\times {10}^3$ bits

Answer 1

The correct option is C $42.336\times {10}^6$ bits

Sampling rate, $f_s=44.1kHz$

Bits per sample $n=16$

Number of bits or piece of music with a duration of minute is,

$R=n\times f_s\times \left(60sec\right)$ $\because$ 1 minute = 60 seconds

$=16\times 44.1\times {10}^3\times 60bits$

$=42.336\times {10}^{6}bits$