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What are the units of digital storage, and how do you convert and calculate file sizes?

State the units used to measure data (bit, byte, KB, MB, GB, TB), convert between them, and calculate and compare file and storage sizes.

A focused answer to the WJEC GCSE Digital Technology content on measuring data, covering the units from bit to terabyte, converting between them, and calculating how many files fit on a storage device.

Generated by Claude Opus 4.89 min answer

Reviewed by: AI editorial process; not yet individually human-reviewed

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  1. What this dot point is asking
  2. The units of storage
  3. The 1000 versus 1024 point
  4. Converting between units
  5. Calculating how many files fit
  6. Combining a file size with a conversion
  7. Estimating and sense-checking
  8. Why this matters

What this dot point is asking

WJEC asks you to know the standard units that digital data is measured in, from the smallest (the bit) up to large capacities (the terabyte), to convert confidently between them, and to use those conversions to calculate file sizes and how much will fit on a device. These conversions underpin every image and sound calculation, and "how many files fit" questions appear regularly.

The units of storage

Storage sizes are quoted in a fixed sequence of units, each a step up from the last.

You should be comfortable placing these in order and stating how they relate, because conversions are built on this ladder.

The 1000 versus 1024 point

There are two conventions, and the exam tells you which to use.

Converting between units

Converting is a matter of multiplying or dividing by 1000 (or 1024) for each step on the ladder.

So 3 GB is 3×1000=30003 \times 1000 = 3000 MB, and 6000 KB is 6000÷1000=66000 \div 1000 = 6 MB. Doing one step at a time avoids losing track of the powers of ten.

Calculating how many files fit

The classic capacity question combines conversion with a division.

Combining a file size with a conversion

Many exam questions chain a size calculation onto a conversion, so you produce a size in bits, turn it into bytes, then express it in a sensible unit. The order is always the same: work out the raw size, divide bits by 8 to reach bytes, then move up the ladder by dividing by 1000 (or 1024) for each step to reach KB, MB or GB. Quoting an answer of "8,000,000 bytes" is correct but a marker often wants it expressed as 8 MB, so practise finishing the conversion to the most readable unit. Keeping each stage on its own line means that if one division is wrong, the marker can still award method marks for the steps that are right, which is why showing working matters as much here as in the image and sound calculations.

Estimating and sense-checking

Because the units differ by factors of a thousand, a single misplaced conversion changes an answer by a huge amount, so a quick sense-check is valuable. If a phone is advertised as 128 GB and your working says it holds three photos, something has gone wrong by a factor of a thousand. A useful habit is to ask whether the final figure is the right order of magnitude: a typical photo is a few megabytes, a song a few megabytes, an hour of video a few gigabytes. Comparing your answer with these everyday sizes catches the most common error, converting in the wrong direction, before you write it down.

Why this matters

Every file-size question, for images, sound or documents, ends in one of these units, and "will it fit?" decisions are everyday digital reasoning: choosing a memory card, knowing whether a video will upload, or deciding if a backup will fit on a drive. Getting the conversions right is also essential for compression questions, where you compare the size before and after.

Exam-style practice questions

Practice questions written in the style of WJEC exam questions on this dot point, with worked answer explainers. The year tag is the paper they imitate, not the source.

WJEC-style2 marksA memory stick has a capacity of 16 GB. Calculate how many photos of 4 MB each it can store (use 1000 MB = 1 GB).
Show worked answer →

First convert the capacity to megabytes: 16 GB×1000=1600016 \text{ GB} \times 1000 = 16000 MB.

Then divide by the size of one photo: 16000÷4=400016000 \div 4 = 4000 photos.

Markers award one mark for converting GB to MB (or for a correct method), and one mark for the answer 4000. Showing the conversion protects the method mark if the division slips, and matching the units (GB to MB) is essential before dividing.

WJEC-style3 marksConvert 2.5 GB into kilobytes, showing your working (use 1000 for each step).
Show worked answer →

Convert GB to MB by multiplying by 1000: 2.5×1000=25002.5 \times 1000 = 2500 MB.

Convert MB to KB by multiplying by 1000 again: 2500×1000=25000002500 \times 1000 = 2500000 KB.

So 2.5 GB is 2,500,000 KB.

Markers give one mark for each correct conversion step and one mark for the final value. Each step up the unit ladder downwards multiplies by 1000; doing it in two clear stages avoids a power-of-ten slip.

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