Kilo
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Kilo (from the Greek χίλιοι, literally a thousand) is a decimal unit prefix in the metric system denoting multiplication by one thousand. It has been used in the International System of Units where it has the unit symbol k, in lower case.
The prefix kilo is derived from the Greek word χίλιοι (chilioi), meaning "thousand". It was originally adopted by Antoine Lavoisier's research group in 1795, and introduced into the metric system in France with its establishment in 1799. Based on a proposal by Thomas Young, the prefix was often alternatively spelled chilio in early 19th century sources.^{[1]}^{[2]}^{[3]}
Examples:
 one kilogram is 1000 grams
 one kilometre is 1000 metres
 one kilojoule is 1000 joules
 one kilobaud is 1000 bauds
 one kilohertz is 1000 hertz
 one kilobit is 1000 bits
 one kilobyte (kB) is 1000 bytes (see exception below for KB)
A second definition has been in common use in some fields of computer science and information technology, which is, however, inconsistent with the SI definition. It uses kilo as meaning 2^{10} = 1024, because of the mathematical coincidence that 2^{10} is approximately 10^{3}. The reason for this application is that binary values natively used in computing are base 2 and not the base 10 which is used for the SI prefixes. The NIST comments on this confusion: "Faced with this reality, the IEEE Standards Board decided that IEEE standards will use the conventional, internationally adopted, definitions of the SI prefixes", instead of kilo for 1024.^{[4]}
Example:
 One "kilobyte" (KB) is 1024 bytes in JEDECstandard, whereas the definition has shifted to, in most contexts, mean 1000 bytes (kB) in accordance with SI.
To address this confusion, a new set of binary prefixes have been introduced which are based on powers of 2. In that system, 1024 bytes are called a kibibyte or 1 KiB.
Exponentiation
When units occur in exponentiation, such as in square and cubic forms, any multiplier prefix is considered part of the unit, and thus included in the exponentiation.
 1 km^{2} means one square kilometre or the area of a square that measures 1000 m on each side or 10^{6} m^{2} (as opposed to 1000 square meters, which is the area of a square that measures 31.6 m on each side).
 1 km^{3} means one cubic kilometre or the volume of a cube that measures 1000 m on each side or 10^{9} m^{3} (as opposed to 1000 cubic meters, which is the volume of a cube that measures 10 m on each side).
See also
 milli (inverse of kilo prefix, denoting a factor of 1/1000)
 kibi (binary prefix, denoting a factor of 1024)
References
 ↑ Brewster, David (1830). The Edinburgh Encyclopædia. 12. Edinburgh, UK: William Blackwood, John Waugh, John Murray, Baldwin & Cradock, J. M. Richardson. Retrieved 20151009.
 ↑ Brewster, David (1832). The Edinburgh Encyclopaedia. 12 (1st American ed.). Joseph and Edward Parker. Retrieved 20151009.
 ↑ Dingler, Johann Gottfried (1823). Polytechnisches Journal (in German). 11. Stuttgart, Germany: J.W. Gotta'schen Buchhandlung. Retrieved 20151009.
 ↑ Definition of binary prefixes at NIST

 ↑ The metric system was introduced in 1795 with several metric prefixes, of which, however, only six were adopted as SI prefixes by the 11th CGPM conference in 1960, whereas myria (10^{4}) as well as double and demi were not adopted. In 1873, micro and mega were recommended by the British Association for the Advancement of Science. The other dates relate to recognition by a resolution of the CGPM.