7:units

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

Contents

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.
 
             l l l.  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".
 
             l l l.  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  mean-
      ing"  when  computers  were involved.  But then disk technology changed, and disk sizes became arbitrary numbers.
      After a period of uncertainty all disk manufacturers 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 prefixes given above, enabling people to be precise and unambigu-
      ous.
 
      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.

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