Grade 11 · Science · Physics

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

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Digital information: bits, sampling and storage

Grade 11 Science Worksheet - Challenge Me

NameDate

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

A drive holds 1 TB (1 TB = 10¹² bytes). How many GiB is that (1 GiB = 2³⁰ bytes), to 0.01, Ari?
A drive holds 2 TB (1 TB = 10¹² bytes). How many GiB is that (1 GiB = 2³⁰ bytes), to 0.01, Bo?
A drive holds 4 TB (1 TB = 10¹² bytes). How many GiB is that (1 GiB = 2³⁰ bytes), to 0.01, Esme?
4.
A photo is 4000 × 3000 pixels, with 3 bytes per pixel. How big is it before compression, Jun?
- 4 MB
- 36 MB
- 12 MB
5.
Each pixel uses 24 bits. How many different colors can a pixel show, Kira?
- 24
- About 16.8 million
- 48
6.
A photo file is squeezed to one-tenth of its size with lossy compression. What has happened, Luz?
- Its colors turned gray
- Some hard-to-see detail was dropped
- The photo became ten times bigger on screen
7.
Noah says doubling the bits per sample doubles the number of loudness levels. Agree or disagree?
- Disagree: it squares them
- Agree: twice the bits, twice the levels
- Agree: bits add levels one at a time
8.
Pia says digital files last forever on a drive. Agree or disagree?
- Disagree: drives fail, so back up
- Agree: bits can't wear out
- Agree: files copy themselves
9.
A sound of 30,000 Hz is recorded at 44,100 samples a second. Is it captured faithfully, Ren?
- No: it needs over 60,000 a second
- Yes: 44,100 is bigger than 30,000
- Yes: any sampling rate works
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

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

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

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

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.

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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