A sound of 1 minute duration was digitized at a frequency of 11000 Hz.

A sound of 1 minute duration was digitized at a frequency of 11000 Hz. The coding color depth is 16 bit. Determine the size of the resulting file in MB. Round the result to two decimal places.

Let us assume by default that the digitization was carried out in mono recordings.

As we well know from the school curriculum, in general, the size of a sound file is determined by the following formula:

I = K * f * i * t, where K is the number of channels (for mono, this number is 1), f is the sampling rate, i is the resolution in bits, t is the recording time in seconds.

Therefore, we get:

I = 1 * 11000 * 16 * 60 = 10560000.

Now let’s translate the result into megabytes:

10,560,000: 8388608 ≈ 1.26.

Answer: 1.26 MB.