Data Storage Converter
Convert between decimal SI units (base 1000) and binary IEC units (base 1024) with complete discrepancy comparisons.
SI Decimal System (Base 1000)1 KB = 10³ B
Bits (b)
8000000000
Nibbles
2000000000
Bytes (B)
1000000000
Kilobytes (KB)
1000000
Megabytes (MB)
1000
Gigabytes (GB)
1
Terabytes (TB)
0.001
Petabytes (PB)
0.000001
Exabytes (EB)
1.000000e-9
Zettabytes (ZB)
1.000000e-12
Yottabytes (YB)
1.000000e-15
IEC Binary System (Base 1024)1 KiB = 2¹⁰ B
Bits (b)
8000000000
Nibbles
2000000000
Bytes (B)
1000000000
Kibibytes (KiB)
976562.5
Mebibytes (MiB)
953.674316406
Gibibytes (GiB)
0.931322574615
Tebibytes (TiB)
0.000909494701773
Pebibytes (PiB)
8.881784e-7
Exbibytes (EiB)
8.673617e-10
Zebibytes (ZiB)
8.470329e-13
Yobibytes (YiB)
8.271806e-16
SI vs. IEC Capacity Discrepancy
| Scale Level | SI Marketed Value (Base 1000) | IEC Operating System Value (Base 1024) | Discrepancy (OS Loss Ratio) |
|---|---|---|---|
| Kilo / Kibi | 1000000 | 976562.5 | -2.40% |
| Mega / Mebi | 1000 | 953.674316406 | -4.86% |
| Giga / Gibi | 1 | 0.931322574615 | -7.37% |
| Tera / Tebi | 0.001 | 0.000909494701773 | -9.95% |
| Peta / Pebi | 0.000001 | 8.881784e-7 | -12.59% |
| Exa / Exbi | 1.000000e-9 | 8.673617e-10 | -15.29% |
| Zetta / Zebi | 1.000000e-12 | 8.470329e-13 | -18.06% |
| Yotta / Yobi | 1.000000e-15 | 8.271806e-16 | -20.89% |
Discrepancy Explanation:Storage drive manufacturers advertise capacities in decimal base 1000 (e.g., 1 TB = 1,000,000,000,000 bytes). However, operating systems (like Windows) calculate space using binary base 1024 (Tebibytes). This results in a cumulative “loss” of ~9.09% when viewing Terabytes on your computer!
Decimal vs. binary storage unit differences
Digital storage capacities are measured using two competing units standards. The International System of Units (SI) uses decimal prefix conversions: 1 KB = 1000^1 Bytes. This is standard for network bandwidth, marketing hard disk capacities, and USB flash memory chips.
Conversely, the International Electrotechnical Commission (IEC) standard defines binary subdivisions:1 KiB = 1024^1 Bytes, representing true powers of two (2¹⁰). This matches RAM capacities and file system storage descriptors in computer architecture.
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