Single-channel (mono) audio recording is made with a sampling rate of 16 kHz and 24 bit resolution.

univerkov | December 29, 2020 | education

Single-channel (mono) audio recording is made with a sampling rate of 16 kHz and 24 bit resolution. Recording lasts 3 minutes, its results are written to a file, no compression is performed. Which of the following is closest to the size of the resulting file?

Let’s determine the size of this file in bits.
I = 1 * 16 * 1000 Hz * 24 bit * 3 * 60 s = 69120000 bit.
Let’s translate the resulting volume into bytes, then into kilobytes, and then into megabytes.
69120000 bits = 69120000/8 bytes = 8640000 bytes = 8640000/1024 kB = 8437.5 kB = 8437.5 / 1024 MB = 8.24 MB ≈ 8 MB.
Answer: 8 MB.

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