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.

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.

What is gibibyte (binary)?

A gibibyte is a binary data unit equal to 1,024 mebibytes, approximately 1.074 gigabytes. It is used by operating systems and technical documentation to express exact binary storage capacities.

Real-world uses

Gibibytes are used in operating systems, virtual machines, and technical contexts where binary accuracy is needed. macOS (since Catalina), Linux, and Windows all report file sizes and disk capacities in GiB in their file explorers. Virtual machine disk images, RAM allocations, and container storage limits are often specified in GiB.

History

The gibibyte was defined by the IEC in 1998. Prior to this, "gigabyte" was used inconsistently for both 10^9 and 2^30 bytes. The IEC standard clarified terminology, though marketing materials continue to use "GB" in the decimal sense, perpetuating consumer confusion.

Common mistakes

Confusing GiB (gibibyte, 1,073,741,824 bytes) with GB (gigabyte, 1,000,000,000 bytes). The difference is approximately 7.4%. A "1 TB" hard drive contains 1,000,000,000,000 bytes, which the OS displays as approximately 931 GiB, causing widespread confusion about "missing" storage.

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.

Worked examples

1 tebibyte (binary) = 1,024 gibibyte (binary)

1 gibibyte (binary) = 1.073742e+09 byte

How to convert tebibyte (binary) to gibibyte (binary)

To convert tebibyte (binary) to gibibyte (binary), multiply the value by 1,024.

To convert gibibyte (binary) back to tebibyte (binary), multiply by 0.00097656.

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 gibibyte (binary)

tebibyte (binary)gibibyte (binary)
0.1102.4
0.5512
11,024
22,048
55,120
1010,240
2525,600
5051,200
100102,400
250256,000
500512,000
1,0001,024,000

Common values

tebibyte (binary)gibibyte (binary)
A text email4.547474e-09 tebibyte (binary)0.00000466 gibibyte (binary)
An MP3 song (4 min)0.00000364 tebibyte (binary)0.00372529 gibibyte (binary)
A smartphone photo0.00000455 tebibyte (binary)0.00465661 gibibyte (binary)
An HD movie0.00454747 tebibyte (binary)4.65661287 gibibyte (binary)
A full hard drive0.9094947 tebibyte (binary)931.32257462 gibibyte (binary)