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If an audio signal is sampled at 44.1 kHz with 16-bit quantization, what is the data rate in kbps (kilobits per second) for mono audio?

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Intro to Computing - How Data is Represented
If an audio signal is sampled at 44.1 kHz with 16-bit quantization, what is the data rate in kbps (kilobits per second) for mono audio?
A16 kbps
B705.6 kbps
C44.1 kbps
D882 kbps
Step-by-Step Solution
Solution:

  1. Step 1: Calculate bits per second

    Data rate = sampling rate x bits per sample = 44,100 x 16 = 705,600 bits per second.

  2. Step 2: Convert to kilobits per second

    705,600 bits per second ÷ 1,000 = 705.6 kbps.

  3. Final Answer:

    705.6 kbps -> Option B

  4. Quick Check:

    Data rate = sampling rate x bits/sample = 705.6 kbps [OK]
Quick Trick: Multiply sampling rate by bits, then convert to kbps [OK]
Common Mistakes:
MISTAKES
  • Confusing bits and bytes
  • Forgetting to convert to kbps
  • Using stereo rate for mono

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