Kilobytes to Tebibytes (kB to TiB)

1 kilobyte equals 9.094947018×10⁻¹⁰ tebibytes (rounded).

1 kilobyte = 9.094947018×10⁻¹⁰ tebibytes

How to convert kilobytes to tebibytes

To convert kilobytes to tebibytes, multiply the number of kilobytes by 9.094947018×10⁻¹⁰. The factor is rounded to 10 significant digits. To go the other way, multiply tebibytes by 1,099,511,628 (rounded).

tebibytes = kilobytes × 9.094947018×10⁻¹⁰

Example: 10 kilobytes = 9.094947018×10⁻⁹ tebibytes.

Decimal prefixes (kB, MB, GB) are powers of 1,000; binary prefixes (KiB, MiB, GiB) are powers of 1,024. Storage makers use decimal; Windows reports binary but labels it GB.

About these units

Kilobyte (kB)

ComputingCurrent unit

1,000 bytes in the SI (decimal) definition. Older software and Windows sometimes use KB to mean 1,024 bytes; see kibibyte.

Few units have had two meanings for so long. By the mid-1960s most computers used binary addressing, so memory sizes came in powers of two and engineers borrowed kilo to mean 1,024. IBM documentation for the System/360 in 1964 used an uppercase K for 1,024. Hard disk makers took a different path from the start. The IEC later settled the question: kilobyte, symbol kB, means 1,000 bytes, and 1,024 bytes is a kibibyte.

Floppy disks show the muddle. The Shugart SA-400 of 1976 held 109,375 bytes unformatted and was advertised as 110 Kbyte, the decimal way, while a 1978 Tandon double-density disk held 368,640 bytes, or 360 times 1,024, and was sold as 360 KB. Windows still divides by 1,024, so a 65,536-byte file appears as 64 KB there, while Mac OS X Snow Leopard and later would call it 66 kB. A kilobyte is also tiny: Edgar Allan Poe's The Cask of Amontillado is 12,843 bytes.

1 kilobyte = 1,000 bytes (exactly).

Sources: Wikipedia: Kilobyte; Wikipedia: Binary prefix; NIST: Prefixes for binary multiples

Tebibyte (TiB)

ComputingCurrent unit

Exactly 2⁴⁰ bytes, about 9.9% larger than a terabyte.

At tera scale the two systems drift furthest apart among the common units. The tebibyte equals 2 to the fortieth bytes, or 1,099,511,627,776 bytes, and the IEC created the bi prefixes in 1998 to separate powers of 1,024 from SI powers of 1,000. A power-of-10 terabyte is about 9 percent smaller than a tebibyte, so the gap has more than tripled since the kibibyte, which is only about 2.4 percent larger than a kilobyte.

Practical consequences are visible on any new drive. A 1 TB drive may be reported as about 931 GB by an operating system that counts in binary but labels it GB. Some systems use TB for 1,024 to the fourth bytes, but the JEDEC standard does not mention TB or larger units. The unit is defined in IEC 80000-13, and its TiB symbol is rarely used outside tools such as KDE and Qt-based applications.

1 tebibyte = 1,099,511,627,776 bytes (exactly).

Sources: Wikipedia: Tebibyte; Wikipedia: Terabyte; NIST: Prefixes for binary multiples

Related conversions

See all digital storage units.