Tebibytes to Gibibytes (TiB to GiB)

1 tebibyte equals 1,024 gibibytes exactly.

1 tebibyte = 1,024 gibibytes

How to convert tebibytes to gibibytes

To convert tebibytes to gibibytes, multiply the number of tebibytes by 1,024. This factor is exact. To go the other way, multiply gibibytes by 0.0009765625.

gibibytes = tebibytes × 1,024

Example: 10 tebibytes = 10,240 gibibytes.

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

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

Gibibyte (GiB)

ComputingCurrent unit

Exactly 1,073,741,824 bytes (2³⁰), about 7.4% larger than a gigabyte. Windows displays this as 'GB', which is why a 500 GB drive appears as about 465 GB.

Gibibyte is the unit that explains why a new drive looks smaller than its box says. It is the IEC name, from December 1998, for 2 to the thirtieth bytes, or 1,073,741,824 bytes, chosen to denote powers of 1,024 unambiguously. A GiB is about 7.4 percent larger than a decimal gigabyte, so a drive advertised as 500 GB holds 500 billion bytes, which is about 465.7 GiB.

Windows reports that number with the label GB, so users see a shortfall. RAM is still counted in the binary sense, while hard drives, SSDs, flash media and optical discs are usually labeled in decimal units. Courts have held that the legal definition of GB is the decimal one. The symbol GiB is formed by adding an i to GB, and apart from KDE and Qt-based applications it is rarely used in practice.

1 gibibyte = 1,073,741,824 bytes (exactly).

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

Related conversions

See all digital storage units.