Convert KB to KiB
Convert KB to KiB instantly. 1 KB = 0.976563 KiB. Formula, worked examples and a quick reference table.
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One kilobyte equals 0.976563 kibibytes. To convert any number of kilobytes to kibibytes, multiply by 0.9765625.
The converter above works in both directions and updates as you type. Below you will find the formula, a worked example and a reference table of common values.
Data conversions carry two ambiguities at once. Bits and bytes differ by a factor of eight, and network speeds are quoted in bits while file sizes are quoted in bytes — so a connection and a download will always report numbers that look inconsistent. On top of that, the same prefix means 1,000 to a drive manufacturer and 1,024 to an operating system, which is why advertised capacity and reported capacity never match. Neither is an error; they are different conventions wearing the same name.
KB to KiB formula
To go the other way, use kilobyte = kibibyte ÷ 0.9765625.
About these units
A kilobyte is 1,000 bytes in the decimal convention and 1,024 in the binary one. The IEC introduced the kibibyte in 1998 to settle the ambiguity; adoption remains partial.
The kibibyte is exactly 1,024 bytes. It exists so that "kilobyte" can mean 1,000 without ambiguity, following the IEC binary prefixes standardised in 1998.
Kilobyte is also written kilobytes, kbs and k. Kibibyte is also written kibibytes and kibi.
Sources
KB to KiB conversion table
| Kilobyte | Kibibyte |
|---|---|
| 1 KB | 0.9766 KiB |
| 2 KB | 1.9531 KiB |
| 4 KB | 3.9063 KiB |
| 8 KB | 7.8125 KiB |
| 16 KB | 15.625 KiB |
| 32 KB | 31.25 KiB |
| 64 KB | 62.5 KiB |
| 128 KB | 125 KiB |
| 256 KB | 250 KiB |
| 512 KB | 500 KiB |
| 1,024 KB | 1,000 KiB |
Frequently asked questions
How many kibibytes are in a kilobyte? +
There are 0.976563 kibibytes in one kilobyte.
What is 10 KB in KiB? +
10 KB equals 9.7656 KiB. Multiply 10 by 0.9765625.
How do I convert kibibyte back to kilobyte? +
Use kilobyte = kibibyte ÷ 0.9765625. The converter above handles both directions, or see our dedicated KiB to KB page.
How accurate is this kilobyte to kibibyte conversion? +
The factor used is 0.9765625, carried at full double precision. Where a unit has an exact legal definition the factor is exact rather than approximate. Rounding is applied only to the displayed result, so the answer is never a calculation done on an already-rounded number.
Is there a quick way to estimate KB to KiB in my head? +
The factor is exactly 0.977, which is short enough to apply directly without an approximation.