How to Convert Bits to Gigabytes (bit to GB)
Data conversions explain why a 1 TB drive shows less space on your computer and help compare mobile plans sold in gigabytes. This guide shows how to convert bits into gigabytes by hand, with examples and a quick-reference table.
The conversion
To convert bits to gigabytes, multiply the value by 1.250000e-10. To go the other way, divide by the same number (or multiply by 8.000000e+09). Because the factor is tiny, scientific notation keeps the numbers manageable.
Gigabytes = bits × 1.250000e-10
Worked examples
- 3 bit = 3.750000e-10 GB
- 12.5 bit = 1.562500e-9 GB
- 75 bit = 9.375000e-9 GB
Bits to Gigabytes table
| Bits | Gigabytes |
|---|---|
| 1 bit | 1.250000e-10 GB |
| 2 bit | 2.500000e-10 GB |
| 5 bit | 6.250000e-10 GB |
| 10 bit | 1.250000e-9 GB |
| 20 bit | 2.500000e-9 GB |
| 25 bit | 3.125000e-9 GB |
| 50 bit | 6.250000e-9 GB |
| 100 bit | 1.250000e-8 GB |
| 250 bit | 3.125000e-8 GB |
| 500 bit | 6.250000e-8 GB |
| 1,000 bit | 1.250000e-7 GB |
Common questions
Is bit to GB exact?
The factors used here are the internationally defined values where they exist; results are rounded for display only.
How do I convert back?
Use the Gigabytes to Bits converter.
Mistakes to avoid
Multiplying when you should divide
Converting to a smaller unit gives a bigger number, and converting to a larger unit gives a smaller one. If your answer moves the wrong way, you have inverted the factor.
Dropping the units
A bare number without a unit is easy to misread later. Always write the unit with the result.
Rounding the factor too early
Using 3 instead of 3.28 for feet per metre introduces an error of almost 9% before you have started.
Background
Unit conversion is simply multiplication by a fixed ratio. The ratio between two units of the same quantity never changes, so once you know it you can convert any value in either direction.
Writing the units next to every number while you work is the simplest way to avoid mistakes. If the units do not cancel to leave the one you want, the calculation is set up wrongly.
Many conversion factors are exact by definition. The inch has been defined as exactly 2.54 centimetres since 1959, and the pound as exactly 0.45359237 kilograms, so conversions involving them can be as precise as you need.
For any value, use the Bits to Gigabytes Converter or browse all data storage converters.
Run your own numbers: Bits to Gigabytes Converter