Data storage values
This appendix describes the units of measure that are used to express data storage values in the IBM Tape Storage products. For example, in the IBM TS4500 tape library displays data storage values by using decimal (base-10) prefixes and binary (base-2) units of measurement.
Decimal units such as KB, MB, GB, and TB are commonly used to express data storage values, although these values are more accurately expressed by using binary units, such as KiB, MiB, GiB, and TiB. At the kilobyte level, the difference between decimal and binary units of measurement is relatively small (2.4%). This difference grows as data storage values increase, and when values reach terabyte levels, the difference between decimal and binary units approaches 10%.
To reduce the possibility of confusion, this appendix represents data storage by using decimal and binary units. Data storage values are displayed by using the following format:
#### decimal unit (binary unit)
By this example, the value 512 terabytes is displayed as shown in the following example:
512 TB (465.6 TiB)
Table A-1 compares the names, symbols, and values of the binary and decimal units.
Table A-1 Comparison of binary and decimal units and values
Decimal
Binary
Name
Symbol
Value
(BASE10)
Name
Symbol
Value
(BASE2)
kilo
K
103
kibi
Ki
210
mega
M
106
mebi
Mi
220
giga
G
109
gibi
Gi
230
tera
T
1012
tebi
Ti
240
peta
P
1015
pebi
Pi
250
exa
E
1018
exbi
Ei
260
Table A-2 lists the increasing percentage difference between binary and decimal units.
Table A-2 Percentage difference between binary and decimal units
Decimal value
Binary value
Percentage difference
100 kilobytes (KB)
97.65 kibibytes (KiB)
2.35%
100 megabytes (MB)
95.36 mebibytes (MiB)
4.64%
100 gigabytes (GB)
93.13 gibibytes (GiB)
6.87%
100 terabytes (TB)
90.94 tebibytes (TiB)
9.06%
100 petabytes (PB)
88.81 pebibytes (PiB)
11.19%
100 exabytes (EB)
86.73 exbibytes (EiB)
13.27%
 
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