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Kilo-

Kilo is a decimal unit prefix in the metric system denoting multiplication by one thousand (103). It is used in the International System of Units, where it has the symbol k, in lowercase.

The prefix kilo is derived from the Greek word χίλιοι (chilioi), meaning "thousand".

In 19th century English it was sometimes spelled chilio, in line with a puristic opinion by Thomas Young.[1][2] As an opponent of suggestions to introduce the metric system in Britain, he qualified the nomenclature adopted in France as barbarous.

Examples edit

By extension, currencies are also sometimes preceded by the prefix kilo-:

  • one kiloeuro (k€) is 1000 euros
  • one kilodollar (k$) is 1000 dollars

kilobyte edit

For the kilobyte, a second definition has been in common use in some fields of computer science and information technology. It uses kilobyte to mean 210 bytes (= 1024 bytes), because of the mathematical coincidence that 210 is approximately 103. The reason for this application is that digital hardware and architectures natively use base 2 exponentiation, and not decimal systems. JEDEC memory standards still permit this definition, but acknowledge the correct SI usage.

NIST comments on the confusion caused by these contrasting definitions: "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.[3] To address this conflict, a new set of binary prefixes has been introduced, which is based on powers of 2. Therefore, 1024 bytes are defined as one kibibyte (1 KiB).

Exponentiation edit

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 km2 means one square kilometre or the area of a square that measures 1000 m on each side or 106 m2 (as opposed to 1000 square meters, which is the area of a square that measures 31.6 m on each side).
  • 1 km3 means one cubic kilometre or the volume of a cube that measures 1000 m on each side or 109 m3 (as opposed to 1000 cubic meters, which is the volume of a cube that measures 10 m on each side).

See also edit

  • milli- (inverse of kilo- prefix, denoting a factor of 1/1000)
  • kibi- (binary prefix, denoting a factor of 1024)
  • RKM code

References edit

  1. ^ Brewster, David (1832). The Edinburgh Encyclopaedia. Vol. 12 (1st American ed.). Joseph and Edward Parker. Retrieved 2015-10-09.
  2. ^ Dingler, Johann Gottfried (1823). Polytechnisches Journal (in German). Vol. 11. Stuttgart, Germany: J.W. Gotta'schen Buchhandlung. Retrieved 2015-10-09.
  3. ^ Definition of binary prefixes at NIST
Prefix Base 10 Decimal Adoption
[nb 1]
Name Symbol
quetta Q 1030 1000000000000000000000000000000 2022[1]
ronna R 1027 1000000000000000000000000000
yotta Y 1024 1000000000000000000000000 1991
zetta Z 1021 1000000000000000000000
exa E 1018 1000000000000000000 1975[2]
peta P 1015 1000000000000000
tera T 1012 1000000000000 1960
giga G 109 1000000000
mega M 106 1000000 1873
kilo k 103 1000 1795
hecto h 102 100
deca da 101 10
100 1
deci d 10−1 0.1 1795
centi c 10−2 0.01
milli m 10−3 0.001
micro μ 10−6 0.000001 1873
nano n 10−9 0.000000001 1960
pico p 10−12 0.000000000001
femto f 10−15 0.000000000000001 1964
atto a 10−18 0.000000000000000001
zepto z 10−21 0.000000000000000000001 1991
yocto y 10−24 0.000000000000000000000001
ronto r 10−27 0.000000000000000000000000001 2022[1]
quecto q 10−30 0.000000000000000000000000000001
Notes
  1. ^ Prefixes adopted before 1960 already existed before SI. The introduction of the CGS system was in 1873.
  1. ^ a b "On the extension of the range of SI prefixes". 18 November 2022. Retrieved 5 February 2023.
  2. ^ "Metric (SI) Prefixes". NIST.

kilo, other, uses, kilo, disambiguation, look, kilo, wiktionary, free, dictionary, kilo, decimal, unit, prefix, metric, system, denoting, multiplication, thousand, used, international, system, units, where, symbol, lowercase, prefix, kilo, derived, from, greek. For other uses see Kilo disambiguation Look up kilo in Wiktionary the free dictionary Kilo is a decimal unit prefix in the metric system denoting multiplication by one thousand 103 It is used in the International System of Units where it has the symbol k in lowercase The prefix kilo is derived from the Greek word xilioi chilioi meaning thousand In 19th century English it was sometimes spelled chilio in line with a puristic opinion by Thomas Young 1 2 As an opponent of suggestions to introduce the metric system in Britain he qualified the nomenclature adopted in France as barbarous Contents 1 Examples 2 kilobyte 3 Exponentiation 4 See also 5 ReferencesExamples editone kilogram kg is 1000 grams one kilometre km is 1000 metres one kilojoule kJ is 1000 joules one kilolitre kL is 1000 litres one kilobaud kBd is 1000 baud one kilohertz kHz is 1000 hertz one kiloDalton kDa is 1000 Dalton one kilobit kb is 1000 bits one kilobyte kB is 1000 bytes one kiloohm is kW is 1000 ohms one kilosecond ks is 1000 seconds one kilotonne kt is 1000 tonnesBy extension currencies are also sometimes preceded by the prefix kilo one kiloeuro k is 1000 euros one kilodollar k is 1000 dollarskilobyte editFor the kilobyte a second definition has been in common use in some fields of computer science and information technology It uses kilobyte to mean 210 bytes 1024 bytes because of the mathematical coincidence that 210 is approximately 103 The reason for this application is that digital hardware and architectures natively use base 2 exponentiation and not decimal systems JEDEC memory standards still permit this definition but acknowledge the correct SI usage NIST comments on the confusion caused by these contrasting definitions 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 3 To address this conflict a new set of binary prefixes has been introduced which is based on powers of 2 Therefore 1024 bytes are defined as one kibibyte 1 KiB Exponentiation editWhen 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 km2 means one square kilometre or the area of a square that measures 1000 m on each side or 106 m2 as opposed to 1000 square meters which is the area of a square that measures 31 6 m on each side 1 km3 means one cubic kilometre or the volume of a cube that measures 1000 m on each side or 109 m3 as opposed to 1000 cubic meters which is the volume of a cube that measures 10 m on each side See also editmilli inverse of kilo prefix denoting a factor of 1 1000 kibi binary prefix denoting a factor of 1024 RKM codeReferences edit Brewster David 1832 The Edinburgh Encyclopaedia Vol 12 1st American ed Joseph and Edward Parker Retrieved 2015 10 09 Dingler Johann Gottfried 1823 Polytechnisches Journal in German Vol 11 Stuttgart Germany J W Gotta schen Buchhandlung Retrieved 2015 10 09 Definition of binary prefixes at NIST SI prefixesvte Prefix Base 10 Decimal Adoption nb 1 Name Symbolquetta Q 1030 1000 000 000 000 000 000 000 000 000 000 2022 1 ronna R 1027 1000 000 000 000 000 000 000 000 000yotta Y 1024 1000 000 000 000 000 000 000 000 1991zetta Z 1021 1000 000 000 000 000 000 000exa E 1018 1000 000 000 000 000 000 1975 2 peta P 1015 1000 000 000 000 000tera T 1012 1000 000 000 000 1960giga G 109 1000 000 000mega M 106 1000 000 1873kilo k 103 1000 1795hecto h 102 100deca da 101 10 100 1 deci d 10 1 0 1 1795centi c 10 2 0 01milli m 10 3 0 001micro m 10 6 0 000001 1873nano n 10 9 0 000000 001 1960pico p 10 12 0 000000 000 001femto f 10 15 0 000000 000 000 001 1964atto a 10 18 0 000000 000 000 000 001zepto z 10 21 0 000000 000 000 000 000 001 1991yocto y 10 24 0 000000 000 000 000 000 000 001ronto r 10 27 0 000000 000 000 000 000 000 000 001 2022 1 quecto q 10 30 0 000000 000 000 000 000 000 000 000 001Notes Prefixes adopted before 1960 already existed before SI The introduction of the CGS system was in 1873 a b On the extension of the range of SI prefixes 18 November 2022 Retrieved 5 February 2023 Metric SI Prefixes NIST Retrieved from https en wikipedia org w index php title Kilo amp oldid 1188610371, wikipedia, wiki, book, books, library,

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