Terabytes to Mebibytes (TB to MiB)

1 terabyte equals 953,674.3164 mebibytes (rounded).

How to convert terabytes to mebibytes

To convert terabytes to mebibytes, multiply the number of terabytes by 953,674.3164. The factor is rounded to 10 significant digits. To go the other way, multiply mebibytes by 0.000001048576.

mebibytes = terabytes × 953,674.3164

Example: 10 terabytes = 9,536,743.164 mebibytes.

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

Mebibyte (MiB)

ComputingCurrent unit

Exactly 1,048,576 bytes (2²⁰). The binary megabyte, about 4.9% larger than a decimal megabyte.

Mebi, from mega with the binary i added, belongs to the same 1998 IEC family as kibi and gibi, which the IEC published as Amendment 2 to IEC 60027-2 in January 1999. NIST gives the factor as 2 to the twentieth, or 1,048,576 bytes. It was meant to settle a real argument: once storage makers and telecom engineers used decimal values and programmers used binary ones, megabyte came to mean different amounts.

A mebibyte is about 4.9 percent larger than a megabyte, and the standard is now IEC 80000-13. The classic example is the 1.44 MB floppy, whose true capacity is 1,440 KiB, which is 1.47 MB or 1.41 MiB. Like other IEC symbols, MiB is rarely used outside tools such as KDE and Qt-based applications, while Windows and RAM labels use MB for the binary quantity.

1 mebibyte = 1,048,576 bytes (exactly).

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

Related conversions

See all digital storage units.