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UNITS(7)                   Linux Programmer’s Manual                  UNITS(7)



NAME
       units, kilo, kibi, mega, mebi, giga, gibi - decimal and binary prefixes

DESCRIPTION
   Decimal prefixes
       The  SI  system of units uses prefixes that indicate powers of ten.  A kilometer is
       1000 meter, and a megawatt is 1000000 watt.  Below the standard prefixes.


              Prefix   Name    Value
              y        yocto   10^-24 = 0.000000000000000000000001
              z        zepto   10^-21 = 0.000000000000000000001
              a        atto    10^-18 = 0.000000000000000001
              f        femto   10^-15 = 0.000000000000001
              p        pico    10^-12 = 0.000000000001
              n        nano    10^-9  = 0.000000001
              u        micro   10^-6  = 0.000001
              m        milli   10^-3  = 0.001
              c        centi   10^-2  = 0.01
              d        deci    10^-1  = 0.1
              da       deka    10^ 1  = 10
              h        hecto   10^ 2  = 100
              k        kilo    10^ 3  = 1000
              M        mega    10^ 6  = 1000000
              G        giga    10^ 9  = 1000000000
              T        tera    10^12  = 1000000000000
              P        peta    10^15  = 1000000000000000
              E        exa     10^18  = 1000000000000000000
              Z        zetta   10^21  = 1000000000000000000000
              Y        yotta   10^24  = 1000000000000000000000000

       The symbol for micro is the Greek letter mu, often written u in  an  ASCII  context
       where this Greek letter is not available.  See also

              http://physics.nist.gov/cuu/Units/prefixes.html

   Binary prefixes
       The binary prefixes resemble the decimal ones, but have an additional ’i’ (and "Ki"
       starts with a capital ’K’). The names are formed by taking the  first  syllable  of
       the  names  of  the decimal prefix with roughly the same size, followed by "bi" for
       "binary".


              Prefix   Name   Value
              Ki       kibi   2^10 = 1024
              Mi       mebi   2^20 = 1048576
              Gi       gibi   2^30 = 1073741824
              Ti       tebi   2^40 = 1099511627776
              Pi       pebi   2^50 = 1125899906842624
              Ei       exbi   2^60 = 1152921504606846976

       See also

              http://physics.nist.gov/cuu/Units/binary.html

   Discussion
       Before these binary prefixes were introduced, it was fairly common  to  use  k=1000
       and  K=1024, just like b=bit, B=byte.  Unfortunately, the M is capital already, and
       cannot be capitalized to indicate binary-ness.

       At first that didn’t matter too much, since memory modules and disks came in  sizes
       that  were  powers  of  two,  so everyone knew that in such contexts "kilobyte" and
       "megabyte" meant 1024 and 1048576 bytes, respectively. What originally was a sloppy
       use  of the prefixes "kilo" and "mega" started to become regarded as the "real true
       meaning" when computers were involved.  But then disk technology changed, and  disk
       sizes became arbitrary numbers.  After a period of uncertainty all disk manufactur-
       ers settled on the standard, namely k=1000, M=1000k, G=1000M.

       The situation was messy: in the 14k4  modems,  k=1000;  in  the  1.44MB  diskettes,
       M=1024000;  etc. In 1998 the IEC approved the standard that defines the binary pre-
       fixes given above, enabling people to be precise and unambiguous.

       Thus, today, MB = 1000000B and MiB = 1048576B.

       In the free software world programs are slowly being changed to conform.  When  the
       Linux kernel boots and says

              hda: 120064896 sectors (61473 MB) w/2048KiB Cache

       the MB are megabytes and the KiB are kibibytes.



Linux                             2001-12-22                          UNITS(7)

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