Two minutes of recording a digital audio file takes up 5.1 MB of disk space.

Two minutes of recording a digital audio file takes up 5.1 MB of disk space. The sampling rate is 22050 Hz. What is the bit depth of the audio adapter?

First, you must convert the specified information volume of the audio file from MB to bytes.

Since 1 MB is 1024 KB, and 1 KB is 1024 bytes, we get:

5.1 * 1024 * 1024 = 52224 * 1024 = 5347737.6 bytes.

Converting the file recording time from minutes to seconds.

Since there are 60 seconds in 1 minute, it will be:

2 * 60 = 120 seconds.

Find the bit rate of the audio file.

We divide its volume by the time of recording.

5347737.6 / 120 = 44564.48 bytes per second.

Determine the bit capacity of the adapter:

44564.48 / 22050 = 2.021 bytes.

When translated into bits, we get:

2.021 * 8 = 16.16 bits.

Answer:

The bit width of the adapter is 16 bits.