Question

3. The music on a CD is created using a sampling rate of 44,000 measurements per second. Each measurement is stored as a number that represents a specific voltage level. Suppose each of these numbers requires two bytes of storage space. How many MB does it take to represent one hour of music?

Answer 1

302.12 MB

Step-by-step explanation:

The measurements produced in 1 second of the music = 44000

For 1 hour,

1 hour = 3600 seconds.

So,

The measurements produced in 3600 second of the music = 44000×3600

Measurements in 1 hour = 158400000

since, given that

1 measurement requires 2 bytes of space

Thus,

158400000 measurement requires 2×158400000 bytes of space

Thus,

The 316800000 bytes, it will take to represent one hour of music.

1 MB = 1048576 bytes

or,

1 byte = 9.54×10⁻⁷ MB

The MB it will take = 316800000×9.54×10⁻⁷ MB = 302.12 MB