Binary prefixes

This article overlaps thematically with [[list of the prefixes for units]] {{#if: | and [[{{{3}}}]]}} {{#if: | and [[{{{4}}}]]}}. Help to define or combine the articles better from each other. You find a guidance for the use of the collecting main and a list of the past multiple entries under Wikipedia: Article to the same topic. There please expresses you, before you remove the component. FWHS 10:18, 17. January 2006 (CET)

binary prefixes the unit byte instead of normal prefixes are placed in front to indicate in order data sets as for example the storage capacity of non removable disks. (Byte stands for a Oktett.) designations as kOktett and MOktett are uncommon in German, are however to z. B. in the French.

Table of contents

of International Electronical Commission prefixes

1999 has those internationally Electrotechnical Commission (International Electronical Commission) its Amendment 2 tons of “International Electronical Commission 60027 -2: Type character of symbol ton used in electrical technology - part 2: Telecommunications and electronics " publishes. These 1998 approved standard introduced the prefixes kibi, mebi, gibi, tebi, pebi, exbi for binary multiple of quantities. But the first two letters of the original SI prefixes were supplemented over “bi” for binary. In addition the standard gets straight that the SI prefixes for multiple which is based on the Zehnersystem are used.

This additive is contained in the next expenditure of the standard: “International Electronical Commission 60027-2 (2000-11) OD. 2.0".

So far this name convention in the industry is used, they are supported very rarely however by many standardisation organizations (z. B. IEEE and CIPM).

Name symbol value
kibi AI 2 10 = 1.024
mebi Mi 2 20 = 1.048.576
gibi Gi 2 30 = 1.073.741.824
tebi Ti 2 40 = 1.099.511.627.776
pebi Pi 2 50 = 1.125.899.906.842.624
exbi Egg 2 60 = 1.152.921.504.606.846.976

example: In addition 300 GB = 279.5

give to notice is that the International Electronical Commission names were defined only until exbi. The two SI prefixes zetta (10 21) and yotta (10 24) do not have appropriate International Electronical Commission binary prefixes, although an obvious possibility zebi (di = 2 70 = 1.180.591.620.717.411.303.424) and yobi (Yi = 2 80 = 1.208.925.819.614.629.174.706.176) would be.

binary prefixes represented with SI symbols (become outdated)

due to the similar relative importance were used for some power-of-two numbers of prefixes, which come the thousand-he prefixes already standardized next:

Name symbol value basis 16 basis 10
Kilos of k 2 10 = 1,024 = 16,2.5 > 10 3
mega M 2 20 = 1.048.576 = 16 5 > 10 6
giga G 2 30 = 1.073.741.824 = 16,7.5 > 10 9
tera T 2 40 = 1.099.511.627.776 = 16 10 > 10 12
peta P 2 50 = 1.125.899.906.842.624 = 16 12.5 > 10 15
exa E 2 60 = 1.152.921.504.606.846.976 = 16 15 > 10 18
zetta Z 2 70 = 1.180.591.620.717.411.303.424 = 16 17.5 > 10 21
yotta Y 2 80 = 1.208.925.819.614.629.174.706.176 = 16 20 > 10 24

the abbreviations with a letter is identical to SI - prefixes. “K” is excluded, which is exchangeably used with “k”. (In SI “K” stands for Kelvin, and only “k” stands for 1000). It was also suggested using “k” for 1000 and “K” for 1024, but that was never generally recognized.

approximate relationship of the binary and decimal prefixes

Name is: December December: Are example under
separated in %
kilobyte : kibibyte 1.024 0.976 100 KB = 97.6 KiB 2.4%
megabyte : mebibyte 1.049 0.954 100 MT = 95.4 MIB 4.9%
gigabyte : gibibyte 1.074 0.931 100 GB = 93.1 give 7.4%
Terabyte : tebibyte 1.100 0.909 100 TB = 90.9 TiB 10%

reason and history

around these prefixes gave it long time some confusion, since with physical units the progressive rate is usual by powers of ten, for example 1000 g = 1 kg, during in computer science with the prefix Kilo usually 1024 (= 2 10) instead of 1000 (= 10 3) are meant. The article data set deals with this problem.

In the EDP - one at present still often finds byte to literature for 2 10 (= 1024) the instruction KB or KByte, whereby for a long time the large K was in-patriated for the distinction of the SI prefix k (for 1000). That is not however a component of a standard, since the letter K is assigned in the SI-UNIT system for the fundamental unit Kelvin, and this kind of the distinction with the prefixes for the larger values (MT, GB etc.) is no longer possible.

For the designation 1 MT in practice besides three different interpretations were in-patriated:

  • 1 MT = 1.000.000 byte (10 6) = 1000 KB - with non removable disks, CD-/DVD-media and Flash memory
  • 1 MT = 1.048.576 byte (2 20) = 1024 KiB - with main memory (RAM, ROM. . )
  • 1 MT = 1.024.000 byte (1000 · 1024) = 1024 KB = 1000 KiB - with the classical 3 ½ " floppy disk

in addition are the designation 1 MT:

  • 1 M b = 1.000.000 bits = 125,000 byte - with telecommunications lines and Ethernet
 

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