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 mebibyte (binary)?
A mebibyte is a binary data unit equal to 1,024 kibibytes, or 1,048,576 bytes. It is used in operating systems, RAM specifications, and software contexts where exact binary data sizes are required.
Real-world uses
Mebibytes are used by operating systems when reporting RAM size and filesystem usage. Windows Task Manager and Linux tools such as "free" and "df" report memory in MiB. RAM sticks are specified in binary multiples; a "4 GB" RAM module is actually 4 GiB = 4,096 MiB.
History
The mebibyte was standardised by the IEC in 1998 alongside the kibibyte and gibibyte to eliminate the ambiguity created by the historical use of "megabyte" to mean either 1,000,000 or 1,048,576 bytes. Adoption has been gradual, with the Linux kernel and many technical tools now using MiB correctly.
Common mistakes
Confusing MiB (mebibyte, 1,048,576 bytes) with MB (megabyte, 1,000,000 bytes). A mebibyte is approximately 4.86% larger than a megabyte. Software that reports in MiB may appear to show less space than marketing specifications that use MB.
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) = 1,048,576 mebibyte (binary)
1 mebibyte (binary) = 1,048,576 byte
How to convert tebibyte (binary) to mebibyte (binary)
To convert tebibyte (binary) to mebibyte (binary), multiply the value by 1,048,576.
To convert mebibyte (binary) back to tebibyte (binary), multiply by 9.536743e-07.
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 mebibyte (binary)
| tebibyte (binary) | mebibyte (binary) |
|---|---|
| 0.1 | 104,857.6 |
| 0.5 | 524,288 |
| 1 | 1,048,576 |
| 2 | 2,097,152 |
| 5 | 5,242,880 |
| 10 | 10,485,760 |
| 25 | 26,214,400 |
| 50 | 52,428,800 |
| 100 | 104,857,600 |
| 250 | 262,144,000 |
| 500 | 524,288,000 |
| 1,000 | 1.048576e+09 |
Common values
| tebibyte (binary) | mebibyte (binary) | |
|---|---|---|
| A text email | 4.547474e-09 tebibyte (binary) | 0.00476837 mebibyte (binary) |
| An MP3 song (4 min) | 0.00000364 tebibyte (binary) | 3.81469727 mebibyte (binary) |
| A smartphone photo | 0.00000455 tebibyte (binary) | 4.76837158 mebibyte (binary) |
| An HD movie | 0.00454747 tebibyte (binary) | 4,768.37158203 mebibyte (binary) |
| A full hard drive | 0.9094947 tebibyte (binary) | 953,674.31640625 mebibyte (binary) |
Available Data units
More tebibyte (binary) conversions
- Convert tebibyte (binary) to byte
- Convert tebibyte (binary) to kilobyte (decimal)
- Convert tebibyte (binary) to megabyte (decimal)
- Convert tebibyte (binary) to gigabyte (decimal)
- Convert tebibyte (binary) to terabyte (decimal)
- Convert tebibyte (binary) to bit
- Convert tebibyte (binary) to kibibyte (binary)
- Convert tebibyte (binary) to mebibyte (binary)
- Convert tebibyte (binary) to gibibyte (binary)
Assumption: both decimal (kB, MB, GB, TB) and binary (KiB, MiB, GiB, TiB) units are included.