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11th grade Digital information: bits, sampling and storage worksheet

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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
    • 1000000
    • 1024

  6. Using the table, which is bigger, 1 GB or 1 GiB, Kira?

    • 1 GiB, by about 7%
    • They are exactly equal
    • 1 GB, by about 7%

  7. Using the table, why does a 500 GB drive show about 466 on some computers, Luz?

    • Some of its bytes leaked away over time
    • Files shrink on the drive
    • They count in GiB

  8. A sound's highest pitch is 5,000 Hz. What sampling rate is needed to record it faithfully, Milo?

    • About 5,000 a second, the same
    • More than 10,000 a second
    • About 2,500 a second

  9. CD audio samples 44,100 times a second (Library of Congress). About what is the highest pitch it can hold, Noah?

    • About 88,200 Hz
    • About 44,100 Hz
    • About 22,050 Hz

  10. Why do people keep a backup of important files in a second place, Ren?

    • Backups make files smaller
    • Files expire after a year
    • One drive may fail

  11. What helps protect stored files from theft, Tala?

    • Giving the files new names
    • Saving two copies on one drive
    • A strong password and encryption
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11th grade Digital information: bits, sampling and storage worksheet – printable
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About this worksheet

Digital information: bits, sampling and storage. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

  • I can say that n bits give 2ⁿ values and 8 bits make a byte.
  • I can tell SI prefixes (1 MB = 10⁶ bytes) from binary prefixes (1 MiB = 2²⁰ bytes) and convert TB to GiB.
  • I can find a sound file's size from sample rate, bits per sample, channels and time, and say why a recording needs over twice its highest frequency.
  • I can explain why digital copies resist noise and are easy to store, and the risks: loss and theft.

Standard: HS-PS4-2

Words to know

bit: A single 0 or 1

byte: 8 bits

sampling rate: How many times a second a signal is measured

SI prefix: A power of 10, such as kilo = 1000

binary prefix: A power of 2, such as kibi = 1024

Common mistakes

Your child doubled the number of bits. Each extra bit doubles the count of values, so n bits give 2ⁿ.

Your child gave the size in bits. Divide by 8 to get bytes before converting to MB.

Your child treated a GiB like a GB. A GiB is 2³⁰ bytes, about 7% more than 10⁹, so fewer fit.

Questions parents ask

What is the most common mistake with digital information: bits, sampling and storage?

Your child doubled the number of bits. Each extra bit doubles the count of values, so n bits give 2ⁿ.

Are these 11th grade science worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

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