Digital information: bits, sampling and storage
Grade 11 Science Worksheet - Challenge Me

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?
Each pixel uses 24 bits. How many different colors can a pixel show, Kira?
- About 16.8 million
- 48
- 24
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
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
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
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
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
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