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# Base SI Units

Details

SI defines 7 base units: s, m, kg, A, K, mol, cd. There are 22 of derived units with their own symbols defined. These correspond to the base ones like so:

Derived unitEquivalent using base units
rad1
sr1
Hzs^-1
Nkg m s^-2
Pakg m^-1 s^-2
Jkg m^2 s^-2
Derived unitEquivalent using base units
Wkg m^2 s^-3
Cs A
Vkg m^2 s^-3 A^-1
Fkg^-1 m^-2 s^4 A^2
Ωkg m^2 s^-3 A^-2
Skg^-1 m^-2 s^3 A^2
Derived unitEquivalent using base units
Wbkg m^2 s^-2 A^-1
Tkg s^-2 A^-1
Hkg m^2 s^-2 A^-2
°CK
lmcd
lxcd m^-2
Derived unitEquivalent using base units
Bqs^-1
Gym^2 s^-2
Svm^2 s^-2
katmol s^-1
Note: 1 °C = 1 K when we talk about difference of temperatures.

SI further defines 24 prefixes denoting exponents of 10:

SymbolQuantity
Q10^30
R10^27
Y10^24
Z10^21
E10^18
P10^15
SymbolQuantity
T10^12
G10^9
M10^6
k10^3
h10^2
da10
SymbolQuantity
d10^-1
c10^-2
m10^-3
μ10^-6
n10^-9
p10^-12
SymbolQuantity
f10^-15
a10^-18
z10^-21
y10^-24
r10^-27
q10^-30

Each input comprises of a (optional) prefix and one of the base or derived units symbol. Each such input should be convert to product of a power of 10 and a product of base units, as described in the tables above. Missing prefix should be mapped to 1.
For example, "MJ" should be converted to "10^6 kg m^2 s^-2".

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