Kibibytes to Terabytes (KiB to TB)

1 kibibyte equals 1.024×10⁻⁹ terabytes exactly.

1 kibibyte = 1.024×10⁻⁹ terabytes

How to convert kibibytes to terabytes

To convert kibibytes to terabytes, multiply the number of kibibytes by 1.024×10⁻⁹. This factor is exact. To go the other way, multiply terabytes by 976,562,500.

terabytes = kibibytes × 1.024×10⁻⁹

Example: 10 kibibytes = 1.024×10⁻⁸ terabytes.

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

Kibibyte (KiB)

ComputingCurrent unit

Exactly 1,024 bytes (2¹⁰). The IEC name for the binary kilobyte, used by operating systems and memory specifications.

Kibibyte is the first of the names the IEC approved in December 1998 for binary multiples, built from kilobinary. The IUPAC's Interdivisional Committee on Nomenclature and Symbols had proposed binary prefixes in 1995, and the IEC published them in January 1999. The symbol KiB adds an i to the SI symbol, with the K capitalized. NIST says the names keep the first two letters of each SI prefix and add bi, to signal binary.

One KiB is exactly 1,024 bytes, about 2.4 percent more than a kilobyte. The standard is now IEC 80000-13, supported by the BIPM, IEC and NIST. In practice the symbols are rarely used outside a few places such as KDE and Qt-based applications, which can switch between SI and binary units. Donald Knuth jokingly suggested in 1999 calling it a large kilobyte, KKB.

1 kibibyte = 1,024 bytes (exactly).

Sources: NIST: Prefixes for binary multiples; Wikipedia: Kibibyte

Terabyte (TB)

ComputingCurrent unit

1,000 gigabytes (10¹² bytes), the capacity of a typical modern hard drive.

Tera comes from the SI prefix for 10 to the twelfth, so a terabyte is one million million bytes. Computer memory is binary, so the prefixes were once used for powers of two, which caused confusion. IUPAC proposed binary prefixes such as kibi, mebi and gibi in 1995, and the IEC adopted them in December 1998 and published the standard in January 1999. The tebibyte is the binary counterpart, about 9 percent larger than the terabyte.

Hitachi introduced the first one-terabyte consumer hard drive in 2007. For scale, one terabyte is about 20 standard Blu-ray discs or 213 DVDs. The mismatch shows at this size: a drive sold as 1 TB may be reported as about 931 GB, because Windows uses the historic binary convention. macOS and iOS did the same until Mac OS X 10.5 Leopard and iOS 10, then switched to powers of 10.

1 terabyte = 1,000,000,000,000 bytes (exactly).

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

Related conversions

See all digital storage units.