====== Units and System Conversions ====== Table of Prefixes ((see [[https://nvlpubs.nist.gov/nistpubs/Legacy/SP/nistspecialpublication1038.pdf|NIST Special Publication 1038]])) ^ prefix ^ symbol ^ factor ^ | exa | E | 10¹⁸ | | peta | P | 10¹⁵ | | tera | T | 10¹² | | giga | G | 10⁹ | | mega | M | 10⁶ | | kilo | k | 10³ | | deka | d | 10² | | base | none | 10⁰ | | centi | c | 10⁻² | | milli | m | 10⁻³ | | micro | μ | 10⁻⁶ | | nano | n | 10⁻⁹ | | pico | p | 10⁻¹² | | femto | f | 10⁻¹⁵ | | atto | a | 10⁻¹⁸ | ===== System Dimensionality Conversions ===== From [[wp>Dimensional_analysis]] >There are many possible choices of base physical dimensions. The SI standard selects the following dimensions and corresponding dimension symbols: >time (T), length (L), mass (M), electric current (I), absolute temperature (Θ), amount of substance (N) and luminous intensity (J). ^ Dim ^ SI ^ UCS((United States Customary Units)) ^ | L | 2.54cm | 1in | | M | 2.2046kg | 1lb | ====== Temperature Conversions ====== $T_F = \frac{9}{5}T_C + 32$ $T_C = \frac{5}{9}(T_F-32)$ $0^{\circ}C = 273.15K$ $0^{\circ}F = 456.67^{\circ}R$((Rakine is also archaically notated as $R$ or $^{\circ}Ra$)) $T_R = \frac{5}{9}T_K$ ====== IEC Binary Prefixes ====== The primary system in which binary unit magnetudes are represented. Intended to replace SI units for digital measurements, where numbers are represented in base-2 rather than base-10. Thus, when referring to units, generally KB is the SI interpretation of $1\cdot 10^3$ whereas 1KiB referrers to the IEC interpretation of $1\cdot 2^{10}$ in base-2. ^ Prefix ^ Symbol ^ Factor ^ | base | none | 2¹ | | kibi | Ki | 2¹⁰ | | mebi | Mi | 2²⁰ | | gibi | Gi | 2³⁰ | | pebi | Pi | 2⁴⁰ | | exbi | Ei | 2⁵⁰ |