tebibyte (binary) (TiB)

1 tebibyte (binary) = 1.099512e+12 bytes

What is tebibyte (binary)?

A tebibyte is a binary data unit equal to 1,024 gibibytes, approximately 1.1 terabytes. It is used in technical computing contexts, file systems, and database storage to express precise binary data quantities.

Notes: Binary prefix

Real-world uses

Tebibytes are used in enterprise storage systems, cloud computing platforms, and high-performance computing where precise binary capacities are required. Amazon S3, Azure Blob Storage, and data warehouse systems often specify storage limits and quotas in TiB. RAID arrays and SAN/NAS volumes are frequently sized in TiB.

History

The tebibyte was standardised by the IEC in 1998 alongside the other binary prefixes (kibi-, mebi-, gibi-). It addressed the growing need for precision as storage capacities entered the terabyte range and the discrepancy between decimal and binary representations became significant for enterprise and scientific computing.

Common mistakes

Confusing TiB (tebibyte, 2^40 = 1,099,511,627,776 bytes) with TB (terabyte, 10^12 = 1,000,000,000,000 bytes). The difference is about 9.95%. A "1 TiB" cloud storage quota holds approximately 10% more data than a "1 TB" quota.

When is this conversion used?

Operating systems and storage manufacturers use different base systems (binary vs decimal), which is why a '1 TB' drive shows less than 1 TB in your file manager. Understanding this conversion prevents confusion about available storage.

How to convert tebibyte (binary) to byte

To convert tebibyte (binary) to byte, multiply the value by 1.099512e+12.

Conversion formula (from base unit)

x * 1099511627776.0

Measurement standards

The International Electrotechnical Commission (IEC 80000-13) defines binary prefixes: 1 KiB = 1,024 bytes, 1 MiB = 1,048,576 bytes. The SI decimal prefixes (kB = 1,000 bytes, MB = 1,000,000 bytes) apply to data units as they do to all SI quantities.

Did you know?

By 2025, the global datasphere is estimated to reach 181 zettabytes — roughly 181 trillion gigabytes. If stored on standard Blu-ray discs, the stack would reach from Earth to Mars and back over 20 times.

Quick reference: tebibyte (binary) to byte
tebibytes (binary)bytes
0.11.099512e+11
0.55.497558e+11
11.099512e+12
22.199023e+12
55.497558e+12
101.099512e+13
252.748779e+13
505.497558e+13
1001.099512e+14
2502.748779e+14
5005.497558e+14
1,0001.099512e+15

Common values

Common values
tebibytes (binary)bytes
A text email4.547474e-09 tebibytes (binary)5,000 bytes
An MP3 song (4 min)0.00000364 tebibytes (binary)4,000,000 bytes
A smartphone photo0.00000455 tebibytes (binary)5,000,000 bytes
An HD movie0.00454747 tebibytes (binary)5.000000e+09 bytes
A full hard drive0.9094947 tebibytes (binary)1.000000e+12 bytes

Full tebibyte (binary) conversion table

Full tebibyte (binary) conversion table
Unit Value Factor
byte1 TiB = 1.099512e+12 B× 1.099512e+12
kilobyte (decimal)1 TiB = 1.099512e+09 kB× 1.099512e+09
megabyte (decimal)1 TiB = 1,099,511.627776 MB× 1,099,511.627776
gigabyte (decimal)1 TiB = 1,099.51162778 GB× 1,099.51162778
terabyte (decimal)1 TiB = 1.09951163 TB× 1.09951163
bit1 TiB = 8.796093e+12 b× 8.796093e+12
kibibyte (binary)1 TiB = 1.073742e+09 KiB× 1.073742e+09
mebibyte (binary)1 TiB = 1,048,576 MiB× 1,048,576
gibibyte (binary)1 TiB = 1,024 GiB× 1,024