Digital information: bits, sampling and storage

Grade 11 Science Worksheet - Challenge Me

NameDate

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

  1. A drive holds 1 TB (1 TB = 10¹² bytes). How many GiB is that (1 GiB = 2³⁰ bytes), to 0.01, Ari?

  2. A drive holds 2 TB (1 TB = 10¹² bytes). How many GiB is that (1 GiB = 2³⁰ bytes), to 0.01, Bo?

  3. A drive holds 4 TB (1 TB = 10¹² bytes). How many GiB is that (1 GiB = 2³⁰ bytes), to 0.01, Esme?

  4. Each pixel uses 24 bits. How many different colors can a pixel show, Kira?

    • About 16.8 million
    • 48
    • 24
  5. Milo says a 1 TB drive should show 1000 GiB. Agree or disagree?

    • Agree: GB and GiB are the same size
    • Agree: tera means 1000 giga either way
    • Disagree: it is about 931 GiB
  6. Noah says doubling the bits per sample doubles the number of loudness levels. Agree or disagree?

    • Disagree: it squares them
    • Agree: bits add levels one at a time
    • Agree: twice the bits, twice the levels
  7. Pia says digital files last forever on a drive. Agree or disagree?

    • Agree: files copy themselves
    • Agree: bits can't wear out
    • Disagree: drives fail, so back up
  8. A sound of 30,000 Hz is recorded at 44,100 samples a second. Is it captured faithfully, Ren?

    • Yes: any sampling rate works
    • Yes: 44,100 is bigger than 30,000
    • No: it needs over 60,000 a second
  9. A voice recorder samples 8,000 times a second. About what is the highest pitch it can hold, Tala?

    • About 16,000 Hz
    • About 4,000 Hz
    • About 8,000 Hz
  10. A recording at 96,000 samples a second replaces one at 48,000, with the same bits. What happens to the file size, Zee?

    • It stays the same
    • It halves
    • It doubles
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Digital information: bits, sampling and storage

Answer Key - Grade 11 Science Worksheet - Challenge Me

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

  1. A drive holds 1 TB (1 TB = 10¹² bytes). How many GiB is that (1 GiB = 2³⁰ bytes), to 0.01, Ari?

    931.32 GiB
  2. A drive holds 2 TB (1 TB = 10¹² bytes). How many GiB is that (1 GiB = 2³⁰ bytes), to 0.01, Bo?

    1862.65 GiB
  3. A drive holds 4 TB (1 TB = 10¹² bytes). How many GiB is that (1 GiB = 2³⁰ bytes), to 0.01, Esme?

    3725.29 GiB
  4. Each pixel uses 24 bits. How many different colors can a pixel show, Kira?

    • About 16.8 million
    • 48
    • 24
  5. Milo says a 1 TB drive should show 1000 GiB. Agree or disagree?

    • Agree: GB and GiB are the same size
    • Agree: tera means 1000 giga either way
    • Disagree: it is about 931 GiB
  6. Noah says doubling the bits per sample doubles the number of loudness levels. Agree or disagree?

    • Disagree: it squares them
    • Agree: bits add levels one at a time
    • Agree: twice the bits, twice the levels
  7. Pia says digital files last forever on a drive. Agree or disagree?

    • Agree: files copy themselves
    • Agree: bits can't wear out
    • Disagree: drives fail, so back up
  8. A sound of 30,000 Hz is recorded at 44,100 samples a second. Is it captured faithfully, Ren?

    • Yes: any sampling rate works
    • Yes: 44,100 is bigger than 30,000
    • No: it needs over 60,000 a second
  9. A voice recorder samples 8,000 times a second. About what is the highest pitch it can hold, Tala?

    • About 16,000 Hz
    • About 4,000 Hz
    • About 8,000 Hz
  10. A recording at 96,000 samples a second replaces one at 48,000, with the same bits. What happens to the file size, Zee?

    • It stays the same
    • It halves
    • It doubles