Digital information: bits, sampling and storage

Grade 11 Science Worksheet

NameDate

Circle the best answer, or write your answer on the line.

  1. Sound is sampled 44100 times a second at 16 bits per sample on 2 channels, for 60 s. How big is the file in MB (1 MB = 10⁶ bytes), to 0.01, Ari?

  2. Sound is sampled 48000 times a second at 16 bits per sample on 1 channel, for 60 s. How big is the file in MB (1 MB = 10⁶ bytes), to 0.01, Bo?

  3. Sound is sampled 44100 times a second at 16 bits per sample on 2 channels, for 180 s. How big is the file in MB (1 MB = 10⁶ bytes), to 0.01, Esme?

  4. Read this first

    SI and binary prefixes for bytes (NIST)

    PrefixSymbolBytes
    kilobytekB1000
    kibibyteKiB1024
    megabyteMB1000000
    mebibyteMiB1048576
    gigabyteGB1000000000
    gibibyteGiB1073741824
  5. Using the table, how many bytes are in 1 MiB, Jun?

    • 1048576
    • 1024
    • 1000000
  6. Using the table, which is bigger, 1 GB or 1 GiB, Kira?

    • 1 GiB, by about 7%
    • 1 GB, by about 7%
    • They are exactly equal
  7. A sound's highest pitch is 5,000 Hz. What sampling rate is needed to record it faithfully, Milo?

    • About 2,500 a second
    • About 5,000 a second, the same
    • More than 10,000 a second
  8. CD audio samples 44,100 times a second (Library of Congress). About what is the highest pitch it can hold, Noah?

    • About 44,100 Hz
    • About 22,050 Hz
    • About 88,200 Hz
  9. A recording uses more bits per sample. What improves, Pia?

    • Loudness is stored in finer steps
    • It can hold higher pitches
    • It plays back faster than before
  10. Why do people keep a backup of important files in a second place, Ren?

    • Backups make files smaller
    • One drive may fail
    • Files expire after a year
  11. Why can a file be compressed to take less space, Zee?

    • Each of the bits gets physically smaller
    • Patterns can be stored more briefly
    • Compression deletes the whole file
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Digital information: bits, sampling and storage

Answer Key - Grade 11 Science Worksheet

Circle the best answer, or write your answer on the line.

  1. Sound is sampled 44100 times a second at 16 bits per sample on 2 channels, for 60 s. How big is the file in MB (1 MB = 10⁶ bytes), to 0.01, Ari?

    10.58 MB
  2. Sound is sampled 48000 times a second at 16 bits per sample on 1 channel, for 60 s. How big is the file in MB (1 MB = 10⁶ bytes), to 0.01, Bo?

    5.76 MB
  3. Sound is sampled 44100 times a second at 16 bits per sample on 2 channels, for 180 s. How big is the file in MB (1 MB = 10⁶ bytes), to 0.01, Esme?

    31.75 MB
  4. Read this first

    SI and binary prefixes for bytes (NIST)

    PrefixSymbolBytes
    kilobytekB1000
    kibibyteKiB1024
    megabyteMB1000000
    mebibyteMiB1048576
    gigabyteGB1000000000
    gibibyteGiB1073741824
  5. Using the table, how many bytes are in 1 MiB, Jun?

    • 1048576
    • 1024
    • 1000000
  6. Using the table, which is bigger, 1 GB or 1 GiB, Kira?

    • 1 GiB, by about 7%
    • 1 GB, by about 7%
    • They are exactly equal
  7. A sound's highest pitch is 5,000 Hz. What sampling rate is needed to record it faithfully, Milo?

    • About 2,500 a second
    • About 5,000 a second, the same
    • More than 10,000 a second
  8. CD audio samples 44,100 times a second (Library of Congress). About what is the highest pitch it can hold, Noah?

    • About 44,100 Hz
    • About 22,050 Hz
    • About 88,200 Hz
  9. A recording uses more bits per sample. What improves, Pia?

    • Loudness is stored in finer steps
    • It can hold higher pitches
    • It plays back faster than before
  10. Why do people keep a backup of important files in a second place, Ren?

    • Backups make files smaller
    • One drive may fail
    • Files expire after a year
  11. Why can a file be compressed to take less space, Zee?

    • Each of the bits gets physically smaller
    • Patterns can be stored more briefly
    • Compression deletes the whole file