# Terabytes to Tebibytes (TB to TiB)

> Convert terabytes to tebibytes: 1 TB = 0.909495 TiB. Exact conversion factor, formula, 18-row table and worked examples, with JSON API and MCP access.

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

## Formula

- `1 TB = 0.909495 TiB`
- `tebibytes = terabytes × 0.9094947018`
- Reverse: `terabytes = tebibytes × 1.099511628`

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 TB = 1.36424 TiB
- 700 TB = 636.646 TiB
- 2048 TB = 1862.65 TiB

## Conversion table

| Terabytes (TB) | Tebibytes (TiB) |
| --- | --- |
| 1 | 0.909495 |
| 2 | 1.81899 |
| 4 | 3.63798 |
| 8 | 7.27596 |
| 16 | 14.5519 |
| 32 | 29.1038 |
| 64 | 58.2077 |
| 100 | 90.9495 |
| 128 | 116.415 |
| 256 | 232.831 |
| 500 | 454.747 |
| 512 | 465.661 |
| 1000 | 909.495 |
| 1024 | 931.323 |
| 2048 | 1862.65 |
| 4096 | 3725.29 |
| 8192 | 7450.58 |
| 10000 | 9094.95 |

## API

- `GET https://tttkmbb.com/api/v1/convert?value=1.5&from_unit=TB&to_unit=TiB` → 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":"TB","to_unit":"TiB"}`
- 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 tebibytes are in one terabyte?**

1 TB = 0.909495 TiB. 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 terabytes to tebibytes?**

Multiply the value in terabytes by 0.9094947018: tebibytes = terabytes × 0.9094947018. For example, 1.5 TB = 1.36424 TiB.

**How do I convert tebibytes back to terabytes?**

Multiply by the inverse factor 1.099511628 (terabytes = tebibytes × 1.099511628), or use the tebibytes-to-terabytes page.

## Related conversions

- [Tebibytes to terabytes](https://tttkmbb.com/conversion/tib-to-tb.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)
