Terabytes to Gibibytes (TB to GiB)

1 terabyte equals 931.3225746 gibibytes (rounded).

1 terabyte = 931.3225746 gibibytes

How to convert terabytes to gibibytes

To convert terabytes to gibibytes, multiply the number of terabytes by 931.3225746. The factor is rounded to 10 significant digits. To go the other way, multiply gibibytes by 0.001073741824.

gibibytes = terabytes × 931.3225746

Example: 10 terabytes = 9,313.225746 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

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

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.