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Gibibytes to gigabytes

1 GiB = 1.07374 GB

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One gibibyte is exactly 1.073741824 gigabytes, since a gibibyte is 2³⁰ bytes and a gigabyte is exactly 10⁹ bytes. The 7.4 per cent gap between them is the arithmetic behind the most common support question in consumer computing.

About the units

The gibibyte was defined by the IEC in 1998 as 1,073,741,824 bytes, giving computing an unambiguous name for 2³⁰ bytes. Before that, GB meant one thing to a drive manufacturer and another to an operating system. The distinction is not pedantry at this scale: 7.4 per cent of a large drive is a significant quantity, and it is the entire explanation for why storage always appears smaller once installed. Windows reports binary values but labels them GB, which is the specific choice that keeps the confusion alive; Linux and macOS report decimal GB for storage and use GiB where they mean binary.

The exact factor

The exact value is 2³⁰ ÷ 10⁹ = 1,073,741,824 ÷ 1,000,000,000 = 1.073741824, which is 1.024³. Going the other way, a gigabyte is 0.931322574615479 gibibytes — the 0.93 that turns a 500 GB drive into 465 GB on screen. RAM is the counter-case: memory modules are genuinely binary, so 8 GB of RAM means 8 GiB, and here the decimal label is the incorrect one.

Where you meet this conversion

Cloud instance sizing, where memory is allocated in GiB and billed by the hour, so misreading the unit means paying for capacity you did not intend. Virtual machine and container limits, database buffer pools and JVM heap sizes are all specified in binary units. On the consumer side it explains every discrepancy between a box and a properties dialog. Storage array and NAS documentation usually states which convention it uses precisely because the difference is large enough to matter in a purchase decision.

Common values

Value (GiB) Converted (GB)
1 1.07374
2 2.14748
5 5.36871
10 10.7374
25 26.8435
50 53.6871
100 107.374
500 536.871
1 000 1 073.74

Values are rounded for reading. The converter above keeps full precision.

The other way around

1 GB = 0.931323 GiB

Gigabytes to gibibytes divides by 1.073741824. The shortcut worth remembering is to subtract about seven per cent going from decimal GB to binary GiB, and add about eight per cent coming back.

Value (GB) Converted (GiB)
1 0.931323
2 1.86265
5 4.65661
10 9.31323
25 23.2831
50 46.5661
100 93.1323
500 465.661
1 000 931.323

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