jjrscott

Loga-

We use unit prefixes (eg kilo) at lot. They’re very useful but there isn’t one to cover them all. Just for fun I thought I might create my own alternate prefix to filly this need:

I present the Loga (from the Greek λογάριθμος, literally a logarithm) with the prefix λ.

This differs from all the other prefixes in that for any unit:

𝑥 Loga-Unit = log10 𝑥 Unit

The convertion table to the normal prefixes tooks like this:

Text Symbol Factor Power Loga
exa E 1000000000000000000 1018 18
peta P 1000000000000000 1015 15
tera T 1000000000000 1012 12
giga G 1000000000 109 9
mega M 1000000 106 6
kilo k 1000 103 3
hecto h 100 102 2
deca da 10 101 1
(none) (none) 1 100 0
deci d 0.1 10−1 −1
centi c 0.01 10−2 −2
milli m 0.001 10−3 −3
micro μ 0.000001 10−6 −6
nano n 0.000000001 10−9 −9
pico p 0.000000000001 10−12 −12
femto f 0.000000000000001 10−15 −15
atto a 0.000000000000000001 10-18 -18

By way of example, I’ve add the converstions for a few units.

Kelvin

kelvin
(K)
loga-kelvin
(λK)
Description
4.5×10-10 -9.346 Lowest man-made temperature
184.0 2.264 Lowest temperature recorded on Earth
273.15 2.436 0℃
373.15 2.571 100℃
15,000,000 7.176 Solar core
5×1012 12.698 Highest man-made temperature
1.417×1032 32.151 Absolute hot

Metres

metres
(m)
loga-metres
(λm)
Description
1.616×10-35 -34.791 Planck length
1.73 0.238 An example Human’s height
149597870700 11.174 Astronomical unit
9460730472580800 15.975 Light-year
8.8×1026 26.9444826722 Observable universe

Bits

bits
(b)
loga-bits
(λb)
Description
1 0 Bit
8 0.903 Byte
30720 4.487 Apollo Guidance Computer
2,097,152 6.322 IBM Personal Computer
1.048×1016 16.020 Sunway TaihuLight (Top super computer Novemeber 2017)