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28 October, 01:37

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?

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  1. 28 October, 04:34
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    302.12 MB

    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
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