A single-channel audio recording is made with a sampling rate of 16 khz and 32-bit resolution.

A single-channel audio recording is made with a sampling rate of 16 khz and 32-bit resolution. The recording lasts 4 minutes; the results are written to a file, no compression is performed. Which of the following values is closest to the size of the received file, expressed in MB?

The volume of an audio file in our case can be calculated using the following formula:

V = M * i * t, M is the same sampling rate of the record, i is the resolution with which it was produced, t is, accordingly, its duration.

Let’s determine how many bits the volume of our sound file will correspond to under the conditions set out in the tasks:

16 kHz = 16000 Hz;

4 minutes = 240 s;

16000 * 32 * 240 = 122880000.

In megabytes:

122880000: 8: 1024: 1024 ≈ 14.6 ≈ 15.

Answer: Less than 15 MB