Within 10 seconds, sound was recorded into a computer at a sampling rate of 64 kHz and a quantization

Within 10 seconds, sound was recorded into a computer at a sampling rate of 64 kHz and a quantization bit depth of 16 bits. Determine the information volume of the resulting audio file.

The volume of a sound file is determined by the formula:

V = D * t * i,

where D is the sampling frequency (Hz), t is the recording time, i is the quantization bit.

Substitute the values from the condition:

V = 64,000 Hz * 10 s * 16 bits = 10,240,000 bits.

Size in bytes:

V = 10,240,000 bits / (8 bits / byte) = 1,280,000 bytes.

Volume in kilobytes:

V = 1,280,000 bytes / (1,024 bytes / KB) = 1,250 KB.

In megabytes, the volume will be:

V = 1250 KB / (1024 KB / MB) = 1.22 MB.

Answer: 1.22 MB.