# Kilobytes to Kibibytes (KB to KiB)

> Convert kilobytes to kibibytes: 1 KB = 0.976563 KiB. Exact conversion factor, formula, 18-row table and worked examples, with JSON API and MCP access.

- Page id: `kb-to-kib` · Quantity: Data storage (`data-storage`, base unit B) · Tool: `convert_units`
- Canonical page: https://tttkmbb.com/conversion/kb-to-kib · This document: https://tttkmbb.com/conversion/kb-to-kib.md · JSON: https://tttkmbb.com/conversion/kb-to-kib.json (add `?value=` for a result)

## Formula

- `1 KB = 0.976563 KiB`
- `kibibytes = kilobytes × 0.9765625`
- Reverse: `kilobytes = kibibytes × 1.024`

The factor follows from the SI definitions of both units (NIST SP 811); values below are rounded to 6 significant figures, the API returns up to 12.

## Worked examples

- 1.5 KB = 1.46484 KiB
- 700 KB = 683.594 KiB
- 2048 KB = 2000 KiB

## Conversion table

| Kilobytes (KB) | Kibibytes (KiB) |
| --- | --- |
| 1 | 0.976563 |
| 2 | 1.95313 |
| 4 | 3.90625 |
| 8 | 7.8125 |
| 16 | 15.625 |
| 32 | 31.25 |
| 64 | 62.5 |
| 100 | 97.6563 |
| 128 | 125 |
| 256 | 250 |
| 500 | 488.281 |
| 512 | 500 |
| 1000 | 976.563 |
| 1024 | 1000 |
| 2048 | 2000 |
| 4096 | 4000 |
| 8192 | 8000 |
| 10000 | 9765.63 |

## API

- `GET https://tttkmbb.com/api/v1/convert?value=1.5&from_unit=KB&to_unit=KiB` → unified JSON envelope with `result.values.result`, `formula`, `factor`, `sources`, `freshness`
- MCP: server `https://tttkmbb.com/mcp`, tool `convert_units` with `{"value":1.5,"from_unit":"KB","to_unit":"KiB"}`
- All data storage units: https://tttkmbb.com/api/v1/units?quantity=data-storage · full converter: [Data Storage Converter](https://tttkmbb.com/conversion/data-storage.md)
- Authentication: none. Freshness: `static` (fixed conversion factors).

## FAQ

**How many kibibytes are in one kilobyte?**

1 KB = 0.976563 KiB. The factor comes from the SI definitions of both units (NIST SP 811 / BIPM), so it is exact or correct to at least 10 significant figures.

**What is the formula to convert kilobytes to kibibytes?**

Multiply the value in kilobytes by 0.9765625: kibibytes = kilobytes × 0.9765625. For example, 1.5 KB = 1.46484 KiB.

**How do I convert kibibytes back to kilobytes?**

Multiply by the inverse factor 1.024 (kilobytes = kibibytes × 1.024), or use the kibibytes-to-kilobytes page.

## Related conversions

- [Kibibytes to kilobytes](https://tttkmbb.com/conversion/kib-to-kb.md) (reverse)
- [Megabytes to Gigabytes](https://tttkmbb.com/conversion/mb-to-gb.md)
- [Gigabytes to Megabytes](https://tttkmbb.com/conversion/gb-to-mb.md)
- [Gigabytes to Terabytes](https://tttkmbb.com/conversion/gb-to-tb.md)
- [Terabytes to Gigabytes](https://tttkmbb.com/conversion/tb-to-gb.md)
- [Kilobytes to Megabytes](https://tttkmbb.com/conversion/kb-to-mb.md)
- [Megabytes to Kilobytes](https://tttkmbb.com/conversion/mb-to-kb.md)
- [Mebibytes to Megabytes](https://tttkmbb.com/conversion/mib-to-mb.md)
- [Megabytes to Mebibytes](https://tttkmbb.com/conversion/mb-to-mib.md)

## Data Sources

- NIST Special Publication 811 – Guide for the Use of the International System of Units (SI), Appendix B conversion factors — https://www.nist.gov/pml/special-publication-811 (standard, retrieved 2026-09-24)
- BIPM – The International System of Units (SI Brochure, 9th edition) — https://www.bipm.org/en/publications/si-brochure (standard, retrieved 2026-09-24)
- Wikipedia – Conversion of units — https://en.wikipedia.org/wiki/Conversion_of_units (reference, retrieved 2026-09-24)