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 kibibyte (binary)?

A kibibyte is a binary data unit equal to 1,024 bytes. It is the IEC-standard unit that precisely distinguishes binary-based kilobyte measurements from the decimal kilobyte used in storage marketing.

Real-world uses

Kibibytes are used in operating system kernels, Linux system tools, and technical documentation where binary precision matters. Memory allocations, filesystem block sizes, and network buffer sizes are specified in kibibytes to avoid decimal ambiguity. The Linux kernel, GNU tools, and JEDEC standards all use binary prefixes.

History

The kibibyte was defined by the International Electrotechnical Commission (IEC) in 1998 as part of IEC 80000-13 to resolve the longstanding ambiguity between decimal and binary multiples of bytes. The prefix "kibi-" derives from "kilo binary" (2^10 = 1,024).

Common mistakes

Confusing KiB (kibibyte, 1,024 bytes) with kB (kilobyte, 1,000 bytes). The difference is 2.4%, small but significant at scale. Many users and some software still use "kB" to mean 1,024 bytes despite the IEC 1998 standardisation of "KiB".

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) = 1.073742e+09 kibibyte (binary)

1 kibibyte (binary) = 1,024 byte

How to convert tebibyte (binary) to kibibyte (binary)

To convert tebibyte (binary) to kibibyte (binary), multiply the value by 1.073742e+09.

To convert kibibyte (binary) back to tebibyte (binary), multiply by 9.313226e-10.

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 kibibyte (binary)

tebibyte (binary)kibibyte (binary)
0.1107,374,182.40000001
0.5536,870,912
11.073742e+09
22.147484e+09
55.368709e+09
101.073742e+10
252.684355e+10
505.368709e+10
1001.073742e+11
2502.684355e+11
5005.368709e+11
1,0001.073742e+12

Common values

tebibyte (binary)kibibyte (binary)
A text email4.547474e-09 tebibyte (binary)4.8828125 kibibyte (binary)
An MP3 song (4 min)0.00000364 tebibyte (binary)3,906.25 kibibyte (binary)
A smartphone photo0.00000455 tebibyte (binary)4,882.8125 kibibyte (binary)
An HD movie0.00454747 tebibyte (binary)4,882,812.5 kibibyte (binary)
A full hard drive0.9094947 tebibyte (binary)976,562,500 kibibyte (binary)