Consider the following units: terabytes, gigabytes, kilobytes and megabytes.
Which unit contains the most bytes?
Which unit contains the least bytes?
Data can be represented using either:
Metric units - kilobytes \left( \text{kB} \right), megabytes \left( \text{MB} \right), gigabytes \left( \text{GB} \right), terabytes \left( \text{TB} \right).
Binary digital units - kibibytes \left( \text{KiB} \right), mebibytes \left( \text{MiB} \right), gibibytes \left( \text{GiB} \right), tebibytes \left( \text{TiB} \right).
Convert 670 \text{ KiB} to bytes.
Complete the missing values in the equivalence table, rounding your answers to two decimal places:
| Values in bytes | 4608 \text{ B} | 5\,505\,024 \text{ B} | 13\,153\,337\,344 \text{ B} |
|---|---|---|---|
| Values in metric units | 4.608 \text{ kB} | 5.505 \text{ MB} | 13.1533 \text{ GB} |
| Values in binary units | ⬚\text{ KiB} | ⬚\text{ MiB} | ⬚\text{ GiB} |
Determine whether each of the following is equivalent to 3.4 \text{ MB}:
3400 \text{ kB}
3400 \text{ GB}
0.034 \text{ kB}
0.034 \text{ GB}
Convert 45.4 \text{ MB} into:
\text{GB}
\text{kB}
\text{B}
Three files have been downloaded: File A, File B and File C.
Complete the following table to find the size of each file in \text{kB}, \text{MB} and \text{GB}:
| \text{kB} | \text{MB} | \text{GB} | |
|---|---|---|---|
| File A | 9000 | ||
| File B | 60 | ||
| File C | 0.3 |
Convert 10\,050 \text{ B} to the following, correct to two decimal places:
Kilobytes
Kibibytes
Why are there fewer kibibytes than kilobytes for the same number of bytes?
Complete the following conversion table, leaving your answers as fractions where appropriate:
| \text{B} | \text{KiB} | \text{MiB} | \text{GiB} | |
|---|---|---|---|---|
| \text{1 B} | 1 | \dfrac{1}{1024} | \dfrac{1}{1024^3} | |
| \text{1 KiB} | 1 | \dfrac{1}{1024} | \dfrac{1}{1024^2} | |
| \text{1 MiB} | 1024^2 | 1024 | 1 | |
| \text{1 GiB} | 1024^3 | 1024 | 1 |
Convert the following to the indicated unit, correct to one decimal place:
4.895 \text{ kB} to \text{B}
0.3946 \text{ MB} to \text{B}
5\,700\,000 \text{ B} to \text{MB}
7100 \text{ GB} to \text{TB}
670 \text{ GB} + 890 \text{ GB} to \text{TB}
6.6 \text{ TB} + 700 \text{ GB} to \text{TB}
3.7 \text{ TB} - 800 \text{ GB} to \text{TB}
Emma bought a "32 \text{ GB}" USB drive. However, when she got it home, Emma plugged it into her computer and saw that the available space was "29.8 \text{ GB}".
Determine whether each of the following statements is a possible explanation for this situation:
The USB company is measuring the storage in Gigabytes. The computer is measuring the storage in Gibibytes.
The USB company is measuring the storage in Gibibytes. The computer is measuring the storage in Gigabytes.
Sophia has two USB drives. One currently stores 1.3 \text{ GB} of data and the other stores 480 \text{ MB} of data.
Which USB has recorded the most data?
What is the total amount of data that Sophia has stored on the drives in Gigabytes? Round the answer to two decimal places.
Rochelle has a hard drive that can store 2 \text{ TB} of data.
The drive has 8 \text{ GB} of free space. She then installs a program that takes up 440 \text{ MB}. How much free space in \text{MB} will she have after installing the program?
After installing the program, Rochelle then deletes a 9 \text{ GB} file. How much data in \text{GB} is stored on the device now? Round your answer to two decimal places.
Tracy has a hard drive of size 2 \text{ TB}. She has stored 19\,000 files that are all the same size, and the hard drive is now full. What is the size of a single file? Express your answer in \text{MB}, correct to two decimal places.
Caitlin has bought a disk drive that can hold 5 \text{ TB} of data. How many files of size 9.8 \text{ MB} can she store in this disk?
There are 5 files on a data drive, each of size 7600 \text{ kB}.
What is the total size of the files on the data drive in \text{kB}?
What is the total size of the files on the data drive in \text{MB}? Round your answer to one decimal place.
Adam is an animator, and he has 1400 folders of animation stills. Because of the program he uses, the folders are each always 1665 \text{ MB} in size. He wants to buy an external hard drive to store all his data.
The store he has chosen sells 1 \text{ TB} , 2 \text{ TB}, 3 \text{ TB}, and 4 \text{ TB} drives, with larger drives being more expensive. Which one should he buy?
Jack's internet connection downloads files at 34 \text{ MB} per second. How long would it take him to download a 323 \text{ MB} file? Express your answer in seconds to one decimal place.
Patricia’s laptop took 2 hours to download a 3 \text{ GB} file. What was the average download speed for the file in \text{kB/s}? Round your answer to two decimal places.
Nadia wants to download a file of size 320 \text{ MB}.
When her phone is connected to her Wi-Fi at home, the download rate is 1333.33 \text{ kB/s}. How many whole seconds will it take to download the file when she's connected to the Wi-Fi?
When her phone is not connected to her Wi-Fi, the download rate slows to 166.67 \text{ kB/s}. How many whole seconds will it take to download the file when she’s not connected to Wi-Fi?
Scott wants to download a game from the internet. The game is 2.1 \text{ GB} and downloads at a rate of 26 \text{ Mb/s}. How many whole seconds will it take for the game to download?
Sarah's laptop has an average download speed of 25 \text{ MB/s}. It takes her laptop 4 hours to download a file. How large is the file in \text{GB}?