Binary prefix : Binary prefixes
Large quantities of bytes, bits, or bits per second (bit/s) are often given using prefixes derived from the SI prefixes, so the prefixes K, M, and G are used for kilobyte, megabyte, gigabyte. For example, a 50 byte text string, 100 KB (kilobytes) files, 128 MB (megabytes) of RAM, or 30 GB (gigabytes) of disk storage.
As popularly used, these prefixes often indicate multiples that are similar, but not equal to, factors denoted by their SI counterparts. Specifically, popular usage in computing often denotes whole powers of two, while SI prefixes are powers of ten. The exact numbers are listed below:
| Name | Abbr | Factor | SI size |
| kilo | K | 210 = 1024 | 103 = 1000 |
| mega | M | 220 = 1 048 576 | 106 = 1 000 000 |
| giga | G | 230 = 1 073 741 824 | 109 = 1 000 000 000 |
| tera | T | 240 = 1 099 511 627 776 | 1012 = 1 000 000 000 000 |
| peta | P | 250 = 1 125 899 906 842 624 | 1015 = 1 000 000 000 000 000 |
| exa | E | 260 = 1 152 921 504 606 846 976 | 1018 = 1 000 000 000 000 000 000 |
| zetta | Z | 270 = 1 180 591 620 717 411 303 424 | 1021 = 1 000 000 000 000 000 000 000 |
| yotta | Y | 280 = 1 208 925 819 614 629 174 706 176 | 1024 = 1 000 000 000 000 000 000 000 000 |
These are identical to SI prefixes, except for "K", which is lowercase in SI.
It is widely regarded as confusing that common usage of kilobyte means 1024 bytes, while the "correct" value is 1000 bytes. Hard disk manufacturers are the only group in computing that habitually uses the lower SI factors, so what is advertised as a 30 GB hard disk will actually only hold about 28 × 230 bytes. Telecommunications also uses the SI factors, so a 1 Mbit/s connection transfers 106 bits per second. Floppy disk manufacturers are even more confusing. The prefix "M" means (1000 × 1000) in SI, and (1024 × 1024) in standard computing. However, the standard "1.44 MB" floppy holds (1.44 × 1000 × 1024) bytes.
In the days of 32K RAM computers, this confusion was not serious, since the different between 210 and 103 was approximately 2%. However, as computing equipment have become increasingly capable, these differences have become an increasingly large error when expressed as percentages.
In 1999, the International Electrotechnical Commission (IEC) published Amendment 2 to "IEC 60027-2: Letter symbols to be used in electrical technology - Part 2: Telecommunications and electronics". This standard, which had been approved in 1998, introduced the prefixes kibi-, mebi-, gibi-, tebi-, pebi-, exbi-, to be used in specifying binary multiples of a quantity. The names come from shortened versions of the original SI prefixes and bi which is short for binary. It also clarifies that, from the point of view of the IEC, the SI prefixes only have their base-10 meaning and never have a base-2 meaning.
| Name | Abbr | Factor |
| kibi | Ki | 210 = 1024 |
| mebi | Mi | 220 = 1 048 576 |
| gibi | Gi | 230 = 1 073 741 824 |
| tebi | Ti | 240 = 1 099 511 627 776 |
| pebi | Pi | 250 = 1 125 899 906 842 624 |
| exbi | Ei | 260 = 1 152 921 504 606 846 976 |
As of 2002 this naming convention has not yet gained widespread use. The IEC did not give names for the prefixes beyond exa-, but if they had given them names, they would probably be zebi- and yobi-.
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ONE OF THE SLAVES OF WADE HAMPTON.
girl, took the comical view of his race, which was greatly enjoyed by
stage-darky, and he wore a flaming suit of calico, the trousers and
the coat a swallow-tail bound and faced with scarlet, and a bell-
all colors in the audience amazingly. Mary, the "bright" woman (this
but bold yellow girl, who wore a natty cap trimmed with scarlet, and
sure enough one of Wade Hampton's slaves, and he's right good looking
and enjoyment.html">enjoyment.html">enjoyment of the fleeting moment; he had a glib tongue and a
of impudence, deference, and patronage, commenting upon them
that kept his hearers in a pleased excitement. He handled the banjo
singing. Mary (how much harder featured and brazen a woman is in
untutored treble, songs of sentiment, often risque, in solo and in
the rollicking enjoyment of her comrade.
The favorite song, which the crowd compelled her to repeat, touched
refrain :
"Mary's gone away wid de coon."
All this, with the moon, the soft summer night, the mixed crowd of
the laughter, the flaring torches, made a wild scene. The
the performance.
What most impressed us, however, was the turning to account by Happy
and the enjoyment of it by all the people of color. They appeared to
Happy John had emphasized it by deepening his natural color and
analyzed the nature of his infectious gayety, nor thought of the
and the distinction of being one of Wade Hampton's niggers, and the
crowd more than the wit of Happy John or the faded songs of the
into a saucer, and after sugaring and eulogizing the dry messes,
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