A unit system based on binary multipliers and parameters of the universe. Łukasz Komsta. Revision I. October 1, 2017

b SYSTÈME BINAIRE D UNITÉS A unit system based on binary multipliers and parameters of the universe Łukasz Komsta Revision I. October 1, 2017 Abstract The Binary System of Units (SBI - Système binairie d unites) is based on binary multipliers, binary unit prefixes and known physical constants characterizing the universe. However, binary units are not designed to be natural and are not normalized to unity, but chosen to be similar in quantities to existing units. It is built on the following base quantities: mass, length, amount of substance, time, electric charge, thermodynamic temperature and luminuous intensity. It may be used for educational purposes, science fiction literature and simply for fun. Nevertheless, this system is fully consistent and serious, so scientific applications are not excluded. 1

Contents 1 Introduction 3 1.1 Unit names................................ 3 1.2 Prefixes.................................. 4 1.3 Binary logarithmic scale........................ 4 2 Base units 4 2.1 Mass.................................... 4 2.2 Length................................... 5 2.3 Amount of substance.......................... 6 2.4 Time.................................... 7 2.5 Electric charge.............................. 9 2.6 Temperature............................... 9 2.7 Luminous intensity........................... 9 3 Named derived units 10 3.1 Force.................................... 10 3.2 Pressure.................................. 11 3.3 Energy................................... 11 3.4 Power................................... 12 3.5 Electric voltage............................. 13 3.6 Electric capacitance........................... 13 3.7 Electric resistance............................ 13 3.8 Electric conductance.......................... 14 3.9 Electric current............................. 14 3.10 Electric inductance........................... 14 3.11 Magnetic flux............................... 15 3.12 Magnetic field strength........................ 15 4 Unnamed derived units 15 4.1 Angle.................................... 15 4.2 Area.................................... 16 4.3 Volume.................................. 17 4.4 Density.................................. 18 4.5 Speed................................... 18 4.6 Other units................................ 18 A Appendix 19 B Beginnings of binary years 123 C Changelog 125 2

1 Introduction The creation of the SBI system has no serious aim. It is a result of a long spare time mental entertainment. SBI can be used by programmers for fun (yes, it is binary!) or studied together with the SI system in comparative way (to enhance the understanding and knowledge about the physical relationships). Last, but not least, it is a good candidate to an official system of a science-fiction book or movie. However, it is restricted to our universe and will be quite meaningless if the physical constants are different in a parallel spacetime. In short, it can be treated as an alternative to the International System of Units (SI - Système international d unites) and as another consistent system with the following features: 1. Every base unit is derived from a chosen physical constant, additionally the relationship between the constant and the unit is binary (i.e. it can be expressed as a power of two) 1. 2. Unit prefixes, which indicate a multiple or a fraction of the base unit, are also defined to be powers of two. 3. The multipliers in definitions of base units are carefully chosen to make binary units as much similar as possible to existing metric SI units. 4. To make the new system easier to learn, no new unit names are introduced and binary names are simple derivatives of the existing ones (bimeter, bisecond etc.). 5. For the same reason, binary multipliers are an extension of the known system introduced in computer science (kibi, mebi etc.). 1.1 Unit names The name of a binary unit is created from the name of analogous SI unit by adding the prefix bi in the beginning of its name, for instance: bimeter, bisecond, bihenry, bipascal etc. The symbol of a unit is created in analogous manner by adding the b letter (b m, b s, b H, b Pa etc.). The prefix letter is the latin small letter b with cedilla 2. Exponents are pronounced in the beginning: Kib m 3 is cubic kibimeter (kee-bee-meter). Electronbivolt (eb V) is the only exception with the letter b in the middle. 1 However, the SBI system is not intended to be another system of natural units, as units are not intended to be normalized to one and their definitions are chosen to set their quantities as close as possible to existing units. 2 There is no such character in Unicode, but it can be created with combining cedilla (U+0327) following by latin small letter b (U+0062). \c{b} can be used in LATEX to typeset this character. When technical difficulties disallow to typeset this character (old operating systems, mechanical typewriters etc.), it can be replaced by small latin letter b. 3

At present stage, no rules for languages other than English are created. 1.2 Prefixes In analogous manner to decimal prefixes of the SI system, the SBI system uses its own binary prefixes. They are an extension of already existing and known binary prefixes (kibi, mebi, gibi etc.), used in computer science. They contain the bi prefix preceeded by another syllable 3. Abbreviation Name Quantity Abbreviation Name Quantity dai dabi 2 3 di dibi 2 3 hi hebi 2 7 ci cebi 2 7 Ki kibi 2 10 mi mibi 2 10 Mi mebi 2 20 ui mubi 2 20 Gi gibi 2 30 ni nabi 2 30 Ti tebi 2 40 pi pibi 2 40 Pi pebi 2 50 fi febi 2 50 Ei exbi 2 60 ai atbi 2 60 Zi zetbi 2 70 zi zebi 2 70 Yi yotbi 2 80 yi yocbi 2 80 1.3 Binary logarithmic scale In analogous way to bel (B) and decibel (db), the SBI system introduces the duo unit, expressed with letter đ. The letter for this unit is latin small letter d with stroke 4. The duo unit is allowed to be used only without any prefix (there are no dibiduos analogous to decibels!). As the duo unit is relative, it should be given with the unit name. For example 10 đb m = 2 10 b m = 1 Kib m. The unit name could be omitted when power is expressed (đui is relative to uib W and đ alone is relative to 1 b W). The unit should be pronounced in singular, for example 10 đb m is ten duo bimeter, 0 đui is zero duo mubi. 2 Base units 2.1 Mass Definition 1. One bigram (1 b g) is defined as 2 24 m P 1.4263500 g, where m P is the Planck mass 5. 3 Classical decimal prefixes can be used with binary units, for example 1 kb g (one kilobigram) = 1000 b g; 1 cb m (one centibimeter) = 0.01 b m. However, to avoid confusion and multiplication of possible combinations, it is allowed only in exceptional cases. 4 Unicode U+0111, present in almost all fonts. \dj is the LATEX way of typesetting. Only in exceptional cases (retro systems, typewriters) it could be replaced with pure small latin d letter. 5 Therefore, m P = 2 16 b g (16 uib g). 4

Although bigram is the base mass unit b y definition, the other units are based on kibigram (1 Kib g 1.4605824 kg). The following relationships exist between binary mass units and gram, pound (453.59237 g) and ounce (28.349523125 g): 1 nib g = 1.3283920e-9 g 1 g = 7.5278985e+8 nib g 1 nib g = 2.9286030e-12 lb 1 lb = 3.4145973e+11 nib g 1 nib g = 4.6857648e-11 oz 1 oz = 2.1341233e+10 nib g 1 uib g = 1.3602734e-6 g 1 g = 7.3514634e+5 uib g 1 uib g = 2.9988895e-9 lb 1 lb = 3.3345677e+8 uib g 1 uib g = 4.7982231e-8 oz 1 oz = 2.0841048e+7 uib g 1 mib g = 1.3929199e-3 g 1 g = 7.1791635e+2 mib g 1 mib g = 3.0708628e-6 lb 1 lb = 3.2564138e+5 mib g 1 mib g = 4.9133805e-5 oz 1 oz = 2.0352586e+4 mib g 1 cib g = 1.1143360e-2 g 1 g = 8.9739544e+1 cib g 1 cib g = 2.4566903e-5 lb 1 lb = 4.0705172e+4 cib g 1 cib g = 3.9307044e-4 oz 1 oz = 2.5440733e+3 cib g 1 dib g = 1.7829375e-1 g 1 g = 5.6087215e+0 dib g 1 dib g = 3.9307044e-4 lb 1 lb = 2.5440733e+3 dib g 1 dib g = 6.2891270e-3 oz 1 oz = 1.5900458e+2 dib g 1 b g = 1.4263500e+0 g 1 g = 7.0109019e-1 b g 1 b g = 3.1445635e-3 lb 1 lb = 3.1800916e+2 b g 1 b g = 5.0313016e-2 oz 1 oz = 1.9875572e+1 b g 1 daib g = 1.1410800e+1 g 1 g = 8.7636273e-2 daib g 1 daib g = 2.5156508e-2 lb 1 lb = 3.9751145e+1 daib g 1 daib g = 4.0250413e-1 oz 1 oz = 2.4844466e+0 daib g 1 hib g = 1.8257280e+2 g 1 g = 5.4772671e-3 hib g 1 hib g = 4.0250413e-1 lb 1 lb = 2.4844466e+0 hib g 1 hib g = 6.4400661e+0 oz 1 oz = 1.5527791e-1 hib g 1 Kib g = 1.4605824e+3 g 1 g = 6.8465838e-4 Kib g 1 Kib g = 3.2200330e+0 lb 1 lb = 3.1055582e-1 Kib g 1 Kib g = 5.1520529e+1 oz 1 oz = 1.9409739e-2 Kib g 1 Mib g = 1.4956364e+6 g 1 g = 6.6861170e-7 Mib g 1 Mib g = 3.2973138e+3 lb 1 lb = 3.0327717e-4 Mib g 1 Mib g = 5.2757021e+4 oz 1 oz = 1.8954823e-5 Mib g 1 Gib g = 1.5315317e+9 g 1 g = 6.5294112e-10 Gib g 1 Gib g = 3.3764494e+6 lb 1 lb = 2.9616911e-7 Gib g 1 Gib g = 5.4023190e+7 oz 1 oz = 1.8510569e-8 Gib g 2.2 Length Definition 2. One bimeter (1 b m) is defined as 2 27 2 3 2 2 l P 1.34273 m, where l P is the Planck length 6. The following relationships exist between binary length units and meter, inch (2.54 cm), foot (30.48 cm), yard (91.44 cm) and mile (1609.344 m): 1 nib m = 1.2505148e-9 m 1 m = 7.9967068e+8 nib m 1 nib m = 4.9232865e-8 inch 1 inch = 2.0311635e+7 nib m 1 nib m = 4.1027387e-9 ft 1 ft = 2.4373962e+8 nib m 1 nib m = 1.3675796e-9 yard 1 yard = 7.3121887e+8 nib m 1 nib m = 7.7703385e-13 mile 1 mile = 1.2869452e+12 nib m 1 uib m = 1.2805271e-6 m 1 m = 7.8092840e+5 uib m 1 uib m = 5.0414454e-5 inch 1 inch = 1.9835581e+4 uib m 1 uib m = 4.2012045e-6 ft 1 ft = 2.3802698e+5 uib m 1 uib m = 1.4004015e-6 yard 1 yard = 7.1408093e+5 uib m 1 uib m = 7.9568267e-10 mile 1 mile = 1.2567824e+9 uib m 1 mib m = 1.3112598e-3 m 1 m = 7.6262539e+2 mib m 1 mib m = 5.1624401e-2 inch 1 inch = 1.9370685e+1 mib m 1 mib m = 4.3020334e-3 ft 1 ft = 2.3244822e+2 mib m 6 Therefore, l P = 2 116 b m. 5

1 mib m = 1.4340111e-3 yard 1 yard = 6.9734466e+2 mib m 1 mib m = 8.1477905e-7 mile 1 mile = 1.2273266e+6 mib m 1 cib m = 1.0490078e-2 m 1 m = 9.5328174e+1 cib m 1 cib m = 4.1299520e-1 inch 1 inch = 2.4213356e+0 cib m 1 cib m = 3.4416267e-2 ft 1 ft = 2.9056027e+1 cib m 1 cib m = 1.1472089e-2 yard 1 yard = 8.7168082e+1 cib m 1 cib m = 6.5182324e-6 mile 1 mile = 1.5341582e+5 cib m 1 dib m = 1.6784125e-1 m 1 m = 5.9580109e+0 dib m 1 dib m = 6.6079233e+0 inch 1 inch = 1.5133348e-1 dib m 1 dib m = 5.5066027e-1 ft 1 ft = 1.8160017e+0 dib m 1 dib m = 1.8355342e-1 yard 1 yard = 5.4480051e+0 dib m 1 dib m = 1.0429172e-4 mile 1 mile = 9.5884891e+3 dib m 1 b m = 1.3427300e+0 m 1 m = 7.4475136e-1 b m 1 b m = 5.2863386e+1 inch 1 inch = 1.8916685e-2 b m 1 b m = 4.4052822e+0 ft 1 ft = 2.2700021e-1 b m 1 b m = 1.4684274e+0 yard 1 yard = 6.8100064e-1 b m 1 b m = 8.3433375e-4 mile 1 mile = 1.1985611e+3 b m 1 daib m = 1.0741840e+1 m 1 m = 9.3093920e-2 daib m 1 daib m = 4.2290709e+2 inch 1 inch = 2.3645856e-3 daib m 1 daib m = 3.5242257e+1 ft 1 ft = 2.8375027e-2 daib m 1 daib m = 1.1747419e+1 yard 1 yard = 8.5125080e-2 daib m 1 daib m = 6.6746700e-3 mile 1 mile = 1.4982014e+2 daib m 1 hib m = 1.7186944e+2 m 1 m = 5.8183700e-3 hib m 1 hib m = 6.7665134e+3 inch 1 inch = 1.4778660e-4 hib m 1 hib m = 5.6387612e+2 ft 1 ft = 1.7734392e-3 hib m 1 hib m = 1.8795871e+2 yard 1 yard = 5.3203175e-3 hib m 1 hib m = 1.0679472e-1 mile 1 mile = 9.3637588e+0 hib m 1 Kib m = 1.3749555e+3 m 1 m = 7.2729625e-4 Kib m 1 Kib m = 5.4132107e+4 inch 1 inch = 1.8473325e-5 Kib m 1 Kib m = 4.5110090e+3 ft 1 ft = 2.2167990e-4 Kib m 1 Kib m = 1.5036697e+3 yard 1 yard = 6.6503969e-4 Kib m 1 Kib m = 8.5435776e-1 mile 1 mile = 1.1704699e+0 Kib m 1 Mib m = 1.4079545e+6 m 1 m = 7.1025024e-7 Mib m 1 Mib m = 5.5431278e+7 inch 1 inch = 1.8040356e-8 Mib m 1 Mib m = 4.6192732e+6 ft 1 ft = 2.1648427e-7 Mib m 1 Mib m = 1.5397577e+6 yard 1 yard = 6.4945282e-7 Mib m 1 Mib m = 8.7486234e+2 mile 1 mile = 1.1430370e-3 Mib m 1 Gib m = 1.4417454e+9 m 1 m = 6.9360375e-10 Gib m 1 Gib m = 5.6761629e+10 inch 1 inch = 1.7617535e-11 Gib m 1 Gib m = 4.7301357e+9 ft 1 ft = 2.1141042e-10 Gib m 1 Gib m = 1.5767119e+9 yard 1 yard = 6.3423127e-10 Gib m 1 Gib m = 8.9585904e+5 mile 1 mile = 1.1162470e-6 Gib m 2.3 Amount of substance Definition 3. One bimole (1 b mol) is the amount of substance, which contains 2 79 molecules ( 1.0037341 mol). The following relationships exist between binary units representing amount of substance and mol: 1 nib mol = 9.3480023E-10 mol 1 mol = 1.0697473E+9 nib mol 1 uib mol = 9.5723544E-7 mol 1 mol = 1.0446751E+6 uib mol 1 mib mol = 9.8020909E-4 mol 1 mol = 1.0201905E+3 mib mol 1 cib mol = 7.8416727E-3 mol 1 mol = 1.2752381E+2 cib mol 1 dib mol = 1.2546676E-1 mol 1 mol = 7.9702383E+0 dib mol 1 b mol = 1.0037341E+0 mol 1 mol = 9.9627979E-1 b mol 1 daib mol = 8.0298728E+0 mol 1 mol = 1.2453497E-1 daib mol 1 hib mol = 1.2847797E+2 mol 1 mol = 7.7834358E-3 hib mol 1 Kib mol = 1.0278237E+3 mol 1 mol = 9.7292948E-4 Kib mol 1 Mib mol = 1.0524915E+6 mol 1 mol = 9.5012644E-7 Mib mol 1 Gib mol = 1.0777513E+9 mol 1 mol = 9.2785786E-10 Gib mol 6

2.4 Time Definition 4. One bisecond (1 b s) is defined as 2 27 +2 4 t P 1.202286224 s, where t P is the Planck time 7. Definition 5. One biminute (1 b min) is defined as 2 6 biseconds (4 daib s 76.9463 s). Definition 6. One bihour (1 b h) is defined as 2 12 biseconds (4 Kib s 82.076 min). Definition 7. One biday (1 b d) is defined as 2 16 21.88695 h). biseconds (64 Kib s Definition 8. One bimonth (1 b mo) is defined as 2 21 biseconds (2 Mib s 29.1826 days). Definition 9. One biyear (1 b y) is defined as 2 25 466.9217 days). bimonths (32 Mib s, These units are not connected with any known astronomical phenomena, so the starting time point for binary dates and times is the Unix epoch 8. For example, the beginning of the 21th century in UTC can be represented as 813705738 biseconds since epoch. Converting this number to binary gives 11000 0100 00000 0010 101000 001010 biyear bimonth biday bihour biminute bisecond (24) (4) (0) (2) (40) (10) The following relationships exist between binary time units and second, minute, hour, day and year: 1 nib s = 1.1197163e-9 s 1 s = 8.9308336e+8 nib s 1 nib s = 1.8661938e-11 min 1 min = 5.3585002e+10 nib s 1 nib s = 3.1103231e-13 h 1 h = 3.2151001e+12 nib s 1 nib s = 1.2959679e-14 d 1 d = 7.7162403e+13 nib s 1 nib s = 3.5481668e-17 y 1 y = 2.8183568e+16 nib s 1 uib s = 1.1465895e-6 s 1 s = 8.7215172e+5 uib s 1 uib s = 1.9109825e-8 min 1 min = 5.2329103e+7 uib s 1 uib s = 3.1849708e-10 h 1 h = 3.1397462e+9 uib s 1 uib s = 1.3270712e-11 d 1 d = 7.5353909e+10 uib s 1 uib s = 3.6333229e-14 y 1 y = 2.7523015e+13 uib s 1 mib s = 1.1741076e-3 s 1 s = 8.5171067e+2 mib s 1 mib s = 1.9568461e-5 min 1 min = 5.1102640e+4 mib s 1 mib s = 3.2614101e-7 h 1 h = 3.0661584e+6 mib s 1 mib s = 1.3589209e-8 d 1 d = 7.3587801e+7 mib s 1 mib s = 3.7205226e-11 y 1 y = 2.6877944e+10 mib s 1 cib s = 9.3928611e-3 s 1 s = 1.0646383e+2 cib s 7 Therefore, t P = 2 144 b s. 8 00:00:00 Coordinated Universal Time (UTC), Thursday, 1 January 1970. 7

1 cib s = 1.5654769e-4 min 1 min = 6.3878300e+3 cib s 1 cib s = 2.6091281e-6 h 1 h = 3.8326980e+5 cib s 1 cib s = 1.0871367e-7 d 1 d = 9.1984752e+6 cib s 1 cib s = 2.9764181e-10 y 1 y = 3.3597431e+9 cib s 1 dib s = 1.5028578e-1 s 1 s = 6.6539896e+0 dib s 1 dib s = 2.5047630e-3 min 1 min = 3.9923937e+2 dib s 1 dib s = 4.1746049e-5 h 1 h = 2.3954362e+4 dib s 1 dib s = 1.7394187e-6 d 1 d = 5.7490470e+5 dib s 1 dib s = 4.7622689e-9 y 1 y = 2.0998394e+8 dib s 1 b s = 1.2022862e+0 s 1 s = 8.3174870e-1 b s 1 b s = 2.0038104e-2 min 1 min = 4.9904922e+1 b s 1 b s = 3.3396840e-4 h 1 h = 2.9942953e+3 b s 1 b s = 1.3915350e-5 d 1 d = 7.1863087e+4 b s 1 b s = 3.8098151e-8 y 1 y = 2.6247993e+7 b s 1 daib s = 9.6182898e+0 s 1 s = 1.0396859e-1 daib s 1 daib s = 1.6030483e-1 min 1 min = 6.2381152e+0 daib s 1 daib s = 2.6717472e-3 h 1 h = 3.7428691e+2 daib s 1 daib s = 1.1132280e-4 d 1 d = 8.9828859e+3 daib s 1 daib s = 3.0478521e-7 y 1 y = 3.2809991e+6 daib s 1 hib s = 1.5389264e+2 s 1 s = 6.4980367e-3 hib s 1 hib s = 2.5648773e+0 min 1 min = 3.8988220e-1 hib s 1 hib s = 4.2747955e-2 h 1 h = 2.3392932e+1 hib s 1 hib s = 1.7811648e-3 d 1 d = 5.6143037e+2 hib s 1 hib s = 4.8765634e-6 y 1 y = 2.0506244e+5 hib s 1 Kib s = 1.2311411e+3 s 1 s = 8.1225459e-4 Kib s 1 Kib s = 2.0519018e+1 min 1 min = 4.8735275e-2 Kib s 1 Kib s = 3.4198364e-1 h 1 h = 2.9241165e+0 Kib s 1 Kib s = 1.4249318e-2 d 1 d = 7.0178796e+1 Kib s 1 Kib s = 3.9012507e-5 y 1 y = 2.5632805e+4 Kib s 1 Mib s = 1.2606885e+6 s 1 s = 7.9321737e-7 Mib s 1 Mib s = 2.1011475e+4 min 1 min = 4.7593042e-5 Mib s 1 Mib s = 3.5019124e+2 h 1 h = 2.8555825e-3 Mib s 1 Mib s = 1.4591302e+1 d 1 d = 6.8533981e-2 Mib s 1 Mib s = 3.9948807e-2 y 1 y = 2.5032036e+1 Mib s 1 Gib s = 1.2909450e+9 s 1 s = 7.7462634e-10 Gib s 1 Gib s = 2.1515750e+7 min 1 min = 4.6477580e-8 Gib s 1 Gib s = 3.5859583e+5 h 1 h = 2.7886548e-6 Gib s 1 Gib s = 1.4941493e+4 d 1 d = 6.6927716e-5 Gib s 1 Gib s = 4.0907579e+1 y 1 y = 2.4445348e-2 Gib s 1 b min = 7.6946318e+1 s 1 s = 1.2996073e-2 b min 1 b min = 1.2824386e+0 min 1 min = 7.7976440e-1 b min 1 b min = 2.1373977e-2 h 1 h = 4.6785864e+1 b min 1 b min = 8.9058239e-4 d 1 d = 1.1228607e+3 b min 1 b min = 2.4382817e-6 y 1 y = 4.1012489e+5 b min 1 b h = 4.9245644e+3 s 1 s = 2.0306365e-4 b h 1 b h = 8.2076073e+1 min 1 min = 1.2183819e-2 b h 1 b h = 1.3679345e+0 h 1 h = 7.3102913e-1 b h 1 b h = 5.6997273e-2 d 1 d = 1.7544699e+1 b h 1 b h = 1.5605003e-4 y 1 y = 6.4082013e+3 b h 1 b d = 7.8793030e+4 s 1 s = 1.2691478e-5 b d 1 b d = 1.3132172e+3 min 1 min = 7.6148867e-4 b d 1 b d = 2.1886953e+1 h 1 h = 4.5689320e-2 b d 1 b d = 9.1195637e-1 d 1 d = 1.0965437e+0 b d 1 b d = 2.4968005e-3 y 1 y = 4.0051258e+2 b d 1 b mo = 2.5213770e+6 s 1 s = 3.9660868e-7 b mo 1 b mo = 4.2022949e+4 min 1 min = 2.3796521e-5 b mo 1 b mo = 7.0038249e+2 h 1 h = 1.4277913e-3 b mo 1 b mo = 2.9182604e+1 d 1 d = 3.4266990e-2 b mo 1 b mo = 7.9897615e-2 y 1 y = 1.2516018e+1 b mo 1 b y = 3.0256524e+7 s 1 s = 3.3050724e-8 b y 1 b y = 4.0342031e+7 s 1 s = 2.4788043e-8 b y 1 b y = 6.7236719e+5 min 1 min = 1.4872826e-6 b y 1 b y = 1.1206120e+4 h 1 h = 8.9236954e-5 b y 1 b y = 4.6692166e+2 d 1 d = 2.1416869e-3 b y 1 b y = 1.2783618e+0 y 1 y = 7.8225114e-1 b y 8

2.5 Electric charge Definition 10. One bicoulomb (1 bc) is defined as 2 26 e 2.95549 C, where e is the elementary charge 9. The following relationships exist between binary pressure units and coulomb: 1 nib C = 2.7525182e-9 C 1 C = 3.6330368e+8 nib C 1 uib C = 2.8185787e-6 C 1 C = 3.5478875e+5 uib C 1 mib C = 2.8862246e-3 C 1 C = 3.4647339e+2 mib C 1 cib C = 2.3089797e-2 C 1 C = 4.3309173e+1 cib C 1 dib C = 3.6943675e-1 C 1 C = 2.7068233e+0 dib C 1 b C = 2.9554940e+0 C 1 C = 3.3835292e-1 b C 1 daib C = 2.3643952e+1 C 1 C = 4.2294114e-2 daib C 1 hib C = 3.7830323e+2 C 1 C = 2.6433822e-3 hib C 1 Kib C = 3.0264258e+3 C 1 C = 3.3042277e-4 Kib C 1 Mib C = 3.0990600e+6 C 1 C = 3.2267849e-7 Mib C 1 Gib C = 3.1734375e+9 C 1 C = 3.1511571e-10 Gib C 2.6 Temperature Definition 11. One bikelvin (1 b K) is defined as 2 9 b where b is the Wien constant. 10. bm 1.10496 K, The following relationships exist between binary temperature units and kelvin: 1 nib K = 1.0290704e-9 K 1 K = 9.7175082e+8 nib K 1 uib K = 1.0537681e-6 K 1 K = 9.4897541e+5 uib K 1 mib K = 1.0790585e-3 K 1 K = 9.2673380e+2 mib K 1 cib K = 8.6324681e-3 K 1 K = 1.1584173e+2 cib K 1 dib K = 1.3811949e-1 K 1 K = 7.2401078e+0 dib K 1 b K = 1.1049559e+0 K 1 K = 9.0501348e-1 b K 1 daib K = 8.8396474e+0 K 1 K = 1.1312668e-1 daib K 1 hib K = 1.4143436e+2 K 1 K = 7.0704178e-3 hib K 1 Kib K = 1.1314749e+3 K 1 K = 8.8380222e-4 Kib K 1 Mib K = 1.1586303e+6 K 1 K = 8.6308811e-7 Mib K 1 Gib K = 1.1864374e+9 K 1 K = 8.4285948e-10 Gib K 2.7 Luminous intensity Definition 12. One bicandela (1 b cd 1.01065 cd) is defined as the luminosity of a source emitting monochromatic radiation of wavelength equal to 431.8 nibm 11 with intensity of 2 10 binary watts (1 mib W) per steradian. The following relationships exist between binary luminous intensity units and candela: 9 e = 2 64 b C 10 One bikelvin is 2 7 of the temperature needed for the black body to have maximum of its radiation at wavelength 2 16 of bimeter. 11 It equals to 540 nm and cannot be changed to a power of two as it s connected with human perception. 9

1 nib cd = 9.4124076e-10 cd 1 cd = 1.0624274e+9 nib cd 1 uib cd = 9.6383053e-7 cd 1 cd = 1.0375268e+6 uib cd 1 mib cd = 9.8696247e-4 cd 1 cd = 1.0132098e+3 mib cd 1 cib cd = 7.8956997e-3 cd 1 cd = 1.2665122e+2 cib cd 1 dib cd = 1.2633120e-1 cd 1 cd = 7.9157012e+0 dib cd 1 b cd = 1.0106496e+0 cd 1 cd = 9.8946265e-1 b cd 1 daib cd = 8.0851965e+0 cd 1 cd = 1.2368283e-1 daib cd 1 hib cd = 1.2936314e+2 cd 1 cd = 7.7301770e-3 hib cd 1 Kib cd = 1.0349052e+3 cd 1 cd = 9.6627212e-4 Kib cd 1 Mib cd = 1.0597429e+6 cd 1 cd = 9.4362512e-7 Mib cd 1 Gib cd = 1.0851767e+9 cd 1 cd = 9.2150890e-10 Gib cd 3 Named derived units 3.1 Force Definition 13. One binewton (b N 1.3567475 N) is defined as kibigram bimeter per square bisecond. The following relationships exist between binary force units and newton, pound-force (4.448221 N) and kilogram-force (9.80665 N): 1 nib N = 1.2635696e-9 N 1 N = 7.9140875e+8 nib N 1 nib N = 2.8406174e-10 lbf 1 lbf = 3.5203615e+9 nib N 1 nib N = 1.2884824e-10 kgf 1 kgf = 7.7610686e+9 nib N 1 uib N = 1.2938952e-6 N 1 N = 7.7286011e+5 uib N 1 uib N = 2.9087922e-7 lbf 1 lbf = 3.4378530e+6 uib N 1 uib N = 1.3194059e-7 kgf 1 kgf = 7.5791686e+6 uib N 1 mib N = 1.3249487e-3 N 1 N = 7.5474620e+2 mib N 1 mib N = 2.9786032e-4 lbf 1 lbf = 3.3572784e+3 mib N 1 mib N = 1.3510717e-4 kgf 1 kgf = 7.4015318e+3 mib N 1 cib N = 1.0599590e-2 N 1 N = 9.4343275e+1 cib N 1 cib N = 2.3828825e-3 lbf 1 lbf = 4.1965979e+2 cib N 1 cib N = 1.0808573e-3 kgf 1 kgf = 9.2519148e+2 cib N 1 dib N = 1.6959343e-1 N 1 N = 5.8964547e+0 dib N 1 dib N = 3.8126121e-2 lbf 1 lbf = 2.6228737e+1 dib N 1 dib N = 1.7293717e-2 kgf 1 kgf = 5.7824467e+1 dib N 1 b N = 1.3567475e+0 N 1 N = 7.3705683e-1 b N 1 b N = 3.0500897e-1 lbf 1 lbf = 3.2785921e+0 b N 1 b N = 1.3834974e-1 kgf 1 kgf = 7.2280584e+0 b N 1 daib N = 1.0853980e+1 N 1 N = 9.2132104e-2 daib N 1 daib N = 2.4400717e+0 lbf 1 lbf = 4.0982402e-1 daib N 1 daib N = 1.1067979e+0 kgf 1 kgf = 9.0350730e-1 daib N 1 hib N = 1.7366368e+2 N 1 N = 5.7582565e-3 hib N 1 hib N = 3.9041148e+1 lbf 1 lbf = 2.5614001e-2 hib N 1 hib N = 1.7708767e+1 kgf 1 kgf = 5.6469206e-2 hib N 1 Kib N = 1.3893094e+3 N 1 N = 7.1978206e-4 Kib N 1 Kib N = 3.1232918e+2 lbf 1 lbf = 3.2017501e-3 Kib N 1 Kib N = 1.4167013e+2 kgf 1 kgf = 7.0586508e-3 Kib N 1 Mib N = 1.4226528e+6 N 1 N = 7.0291217e-7 Mib N 1 Mib N = 3.1982508e+5 lbf 1 lbf = 3.1267091e-6 Mib N 1 Mib N = 1.4507022e+5 kgf 1 kgf = 6.8932137e-6 Mib N 1 Gib N = 1.4567965e+9 N 1 N = 6.8643767e-10 Gib N 1 Gib N = 3.2750088e+8 lbf 1 lbf = 3.0534269e-9 Gib N 1 Gib N = 1.4855190e+8 kgf 1 kgf = 6.7316540e-9 Gib N 10

3.2 Pressure Definition 14. One bipascal (b Pa 0.752526212 Pa) is defined as kibigram per bimeter square bisecond. The following relationships exist between binary pressure units and pascal or pound-force per square inch (6894.757293 Pa): 1 nib Pa = 7.0084465e-10 Pa 1 Pa = 1.4268497e+9 nib Pa 1 nib Pa = 1.0164892e-13 psi 1 psi = 9.8377826e+12 nib Pa 1 uib Pa = 7.1766492e-7 Pa 1 Pa = 1.3934079e+6 uib Pa 1 uib Pa = 1.0408850e-10 psi 1 psi = 9.6072096e+9 uib Pa 1 mib Pa = 7.3488888e-4 Pa 1 Pa = 1.3607499e+3 mib Pa 1 mib Pa = 1.0658662e-7 psi 1 psi = 9.3820406e+6 mib Pa 1 cib Pa = 5.8791110e-3 Pa 1 Pa = 1.7009374e+2 cib Pa 1 cib Pa = 8.5269296e-7 psi 1 psi = 1.1727551e+6 cib Pa 1 dib Pa = 9.4065777e-2 Pa 1 Pa = 1.0630859e+1 dib Pa 1 dib Pa = 1.3643087e-5 psi 1 psi = 7.3297192e+4 dib Pa 1 b Pa = 7.5252621e-1 Pa 1 Pa = 1.3288574e+0 b Pa 1 b Pa = 1.0914470e-4 psi 1 psi = 9.1621490e+3 b Pa 1 daib Pa = 6.0202097e+0 Pa 1 Pa = 1.6610717e-1 daib Pa 1 daib Pa = 8.7315760e-4 psi 1 psi = 1.1452686e+3 daib Pa 1 hib Pa = 9.6323355e+1 Pa 1 Pa = 1.0381698e-2 hib Pa 1 hib Pa = 1.3970522e-2 psi 1 psi = 7.1579289e+1 hib Pa 1 Kib Pa = 7.7058684e+2 Pa 1 Pa = 1.2977123e-3 Kib Pa 1 Kib Pa = 1.1176417e-1 psi 1 psi = 8.9474111e+0 Kib Pa 1 Mib Pa = 7.8908093e+5 Pa 1 Pa = 1.2672971e-6 Mib Pa 1 Mib Pa = 1.1444651e+2 psi 1 psi = 8.7377062e-3 Mib Pa 1 Gib Pa = 8.0801887e+8 Pa 1 Pa = 1.2375949e-9 Gib Pa 1 Gib Pa = 1.1719323e+5 psi 1 psi = 8.5329162e-6 Gib Pa 3.3 Energy Definition 15. One bijoule (b J 1.82174555 J) is defined as kibigram square bimeter per square bisecond. Definition 16. One electronbivolt (eb V = 2 64 b J 0.6163929 ev) is defined as the energy lost or gained by the charge of a single electron moving across an electric potential difference of one bivolt. In other words: 1 eb V = e 1 b V, where e is the elementary charge 12. The following relationships exist between binary energy units and joule or electronvolt: 1 nib J = 1.6966328e-9 J 1 J = 5.8940274e+8 nib J 1 nib J = 1.0589550e+10 ev 1 ev = 9.4432722e-11 nib J 1 uib J = 1.7373519e-6 J 1 J = 5.7558862e+5 uib J 1 uib J = 1.0843699e+13 ev 1 ev = 9.2219455e-14 uib J 1 mib J = 1.7790484e-3 J 1 J = 5.6209826e+2 mib J 1 mib J = 1.1103948e+16 ev 1 ev = 9.0058061e-17 mib J 1 cib J = 1.4232387e-2 J 1 J = 7.0262282e+1 cib J 1 cib J = 8.8831582e+16 ev 1 ev = 1.1257258e-17 cib J 1 dib J = 2.2771819e-1 J 1 J = 4.3913926e+0 dib J 1 dib J = 1.4213053e+18 ev 1 ev = 7.0357860e-19 dib J 1 b J = 1.8217456e+0 J 1 J = 5.4892408e-1 b J 1 b J = 1.1370442e+19 ev 1 ev = 8.7947325e-20 b J 1 daib J = 1.4573964e+1 J 1 J = 6.8615510e-2 daib J 1 daib J = 9.0963539e+19 ev 1 ev = 1.0993416e-20 daib J 12 e = 2 64 b C 11

1 hib J = 2.3318343e+2 J 1 J = 4.2884694e-3 hib J 1 hib J = 1.4554166e+21 ev 1 ev = 6.8708848e-22 hib J 1 Kib J = 1.8654674e+3 J 1 J = 5.3605867e-4 Kib J 1 Kib J = 1.1643333e+22 ev 1 ev = 8.5886060e-23 Kib J 1 Mib J = 1.9102387e+6 J 1 J = 5.2349480e-7 Mib J 1 Mib J = 1.1922773e+25 ev 1 ev = 8.3873105e-26 Mib J 1 Gib J = 1.9560844e+9 J 1 J = 5.1122539e-10 Gib J 1 Gib J = 1.2208920e+28 ev 1 ev = 8.1907329e-29 Gib J 1 nieb V = 9.1974646e-29 J 1 J = 1.0872562e+28 nieb V 1 nieb V = 5.7406064e-10 ev 1 ev = 1.7419762e+9 nieb V 1 uieb V = 9.4182038e-26 J 1 J = 1.0617736e+25 uieb V 1 uieb V = 5.8783810e-7 ev 1 ev = 1.7011487e+6 uieb V 1 mieb V = 9.6442407e-23 J 1 J = 1.0368883e+22 mieb V 1 mieb V = 6.0194621e-4 ev 1 ev = 1.6612780e+3 mieb V 1 cieb V = 7.7153925e-22 J 1 J = 1.2961103e+21 cieb V 1 cieb V = 4.8155697e-3 ev 1 ev = 2.0765975e+2 cieb V 1 dieb V = 1.2344628e-20 J 1 J = 8.1006896e+19 dieb V 1 dieb V = 7.7049115e-2 ev 1 ev = 1.2978734e+1 dieb V 1 eb V = 9.8757024e-20 J 1 J = 1.0125862e+19 eb V 1 eb V = 6.1639292e-1 ev 1 ev = 1.6223418e+0 eb V 1 daieb V = 7.9005619e-19 J 1 J = 1.2657328e+18 daieb V 1 daieb V = 4.9311434e+0 ev 1 ev = 2.0279273e-1 daieb V 1 hieb V = 1.2640899e-17 J 1 J = 7.9108297e+16 hieb V 1 hieb V = 7.8898294e+1 ev 1 ev = 1.2674545e-2 hieb V 1 Kieb V = 1.0112719e-16 J 1 J = 9.8885371e+15 Kieb V 1 Kieb V = 6.3118635e+2 ev 1 ev = 1.5843182e-3 Kieb V 1 Mieb V = 1.0355425e-13 J 1 J = 9.6567745e+12 Mieb V 1 Mieb V = 6.4633482e+5 ev 1 ev = 1.5471857e-6 Mieb V 1 Gieb V = 1.0603955e-10 J 1 J = 9.4304439e+9 Gieb V 1 Gieb V = 6.6184686e+8 ev 1 ev = 1.5109235e-9 Gieb V 3.4 Power Definition 17. One biwatt (b W 1.5152345 W) is defined as kibigram square bimeter per cubic bisecond. The following relationships exist between binary power units and watt or metric horsepower unit (735.49875 W): 1 nib W = 1.4111721e-9 W 1 W = 7.0863080e+8 nib W 1 nib W = 1.9186601e-12 hpm 1 hpm = 5.2119707e+11 nib W 1 uib W = 1.4450402e-6 W 1 W = 6.9202226e+5 uib W 1 uib W = 1.9647079e-9 hpm 1 hpm = 5.0898151e+8 uib W 1 mib W = 1.4797212e-3 W 1 W = 6.7580299e+2 mib W 1 mib W = 2.0118609e-6 hpm 1 hpm = 4.9705226e+5 mib W 1 cib W = 1.1837769e-2 W 1 W = 8.4475374e+1 cib W 1 cib W = 1.6094887e-5 hpm 1 hpm = 6.2131532e+4 cib W 1 dib W = 1.8940431e-1 W 1 W = 5.2797109e+0 dib W 1 dib W = 2.5751820e-4 hpm 1 hpm = 3.8832207e+3 dib W 1 b W = 1.5152345e+0 W 1 W = 6.5996386e-1 b W 1 b W = 2.0601456e-3 hpm 1 hpm = 4.8540259e+2 b W 1 daib W = 1.2121876e+1 W 1 W = 8.2495482e-2 daib W 1 daib W = 1.6481165e-2 hpm 1 hpm = 6.0675324e+1 daib W 1 hib W = 1.9395001e+2 W 1 W = 5.1559676e-3 hib W 1 hib W = 2.6369863e-1 hpm 1 hpm = 3.7922078e+0 hib W 1 Kib W = 1.5516001e+3 W 1 W = 6.4449596e-4 Kib W 1 Kib W = 2.1095891e+0 hpm 1 hpm = 4.7402597e-1 Kib W 1 Mib W = 1.5888385e+6 W 1 W = 6.2939058e-7 Mib W 1 Mib W = 2.1602192e+3 hpm 1 hpm = 4.6291599e-4 Mib W 1 Gib W = 1.6269706e+9 W 1 W = 6.1463924e-10 Gib W 1 Gib W = 2.2120645e+6 hpm 1 hpm = 4.5206639e-7 Gib W 12

3.5 Electric voltage Definition 18. One bivolt (b V 0.61639292 V) is defined as kibigram square bimeter per square bisecond bicoulomb. The following relationships exist between binary voltage units and volt: 1 nib V = 5.7406064e-10 V 1 V = 1.7419762e+9 nib V 1 uib V = 5.8783810e-7 V 1 V = 1.7011487e+6 uib V 1 mib V = 6.0194621e-4 V 1 V = 1.6612780e+3 mib V 1 cib V = 4.8155697e-3 V 1 V = 2.0765975e+2 cib V 1 dib V = 7.7049115e-2 V 1 V = 1.2978734e+1 dib V 1 b V = 6.1639292e-1 V 1 V = 1.6223418e+0 b V 1 daib V = 4.9311434e+0 V 1 V = 2.0279273e-1 daib V 1 hib V = 7.8898294e+1 V 1 V = 1.2674545e-2 hib V 1 Kib V = 6.3118635e+2 V 1 V = 1.5843182e-3 Kib V 1 Mib V = 6.4633482e+5 V 1 V = 1.5471857e-6 Mib V 1 Gib V = 6.6184686e+8 V 1 V = 1.5109235e-9 Gib V 3.6 Electric capacitance Definition 19. One bifarad (b F 4.7948214 F) is defined as squared bicoulomb squared bisecond per kibigram squared bimeter. The following relationships exist between binary capacitance units and farad: 1 nib F = 4.4655254e-9 F 1 F = 2.2393781e+8 nib F 1 uib F = 4.5726980e-6 F 1 F = 2.1868927e+5 uib F 1 mib F = 4.6824428e-3 F 1 F = 2.1356374e+2 mib F 1 cib F = 3.7459542e-2 F 1 F = 2.6695468e+1 cib F 1 dib F = 5.9935267e-1 F 1 F = 1.6684667e+0 dib F 1 b F = 4.7948214e+0 F 1 F = 2.0855834e-1 b F 1 daib F = 3.8358571e+1 F 1 F = 2.6069793e-2 daib F 1 hib F = 6.1373714e+2 F 1 F = 1.6293620e-3 hib F 1 Kib F = 4.9098971e+3 F 1 F = 2.0367026e-4 Kib F 1 Mib F = 5.0277346e+6 F 1 F = 1.9889673e-7 Mib F 1 Gib F = 5.1484003e+9 F 1 F = 1.9423509e-10 Gib F 3.7 Electric resistance Definition 20. One biohm (b Ω 0.25074682 Ω) is defined as kibigram squared bimeter per bisecond squared bicoulomb. The following relationships exist between binary resistance units and ohm: 1 nib Ω = 2.3352618e-10 Ω 1 Ω = 4.2821752e+9 nib Ω 1 uib Ω = 2.3913080e-7 Ω 1 Ω = 4.1818117e+6 uib Ω 1 mib Ω = 2.4486994e-4 Ω 1 Ω = 4.0838005e+3 mib Ω 1 cib Ω = 1.9589595e-3 Ω 1 Ω = 5.1047507e+2 cib Ω 1 dib Ω = 3.1343353e-2 Ω 1 Ω = 3.1904692e+1 dib Ω 1 b Ω = 2.5074682e-1 Ω 1 Ω = 3.9880865e+0 b Ω 1 daib Ω = 2.0059746e+0 Ω 1 Ω = 4.9851081e-1 daib Ω 1 hib Ω = 3.2095593e+1 Ω 1 Ω = 3.1156925e-2 hib Ω 1 Kib Ω = 2.5676474e+2 Ω 1 Ω = 3.8946157e-3 Kib Ω 1 Mib Ω = 2.6292710e+5 Ω 1 Ω = 3.8033356e-6 Mib Ω 1 Gib Ω = 2.6923735e+8 Ω 1 Ω = 3.7141949e-9 Gib Ω 13

3.8 Electric conductance Definition 21. One bisiemens (b S 5.824929 S) is defined as bicoulomb bisecond per kibigram squared meter 13. The following relationships exist between binary conductance units and siemens: 1 nib S = 3.7141949e-9 S 1 S = 2.6923735e+8 nib S 1 uib S = 3.8033356e-6 S 1 S = 2.6292710e+5 uib S 1 mib S = 3.8946157e-3 S 1 S = 2.5676474e+2 mib S 1 cib S = 3.1156925e-2 S 1 S = 3.2095593e+1 cib S 1 dib S = 4.9851081e-1 S 1 S = 2.0059746e+0 dib S 1 b S = 3.9880865e+0 S 1 S = 2.5074682e-1 b S 1 daib S = 3.1904692e+1 S 1 S = 3.1343353e-2 daib S 1 hib S = 5.1047507e+2 S 1 S = 1.9589595e-3 hib S 1 Kib S = 4.0838005e+3 S 1 S = 2.4486994e-4 Kib S 1 Mib S = 4.1818117e+6 S 1 S = 2.3913080e-7 Mib S 1 Gib S = 4.2821752e+9 S 1 S = 2.3352618e-10 Gib S 3.9 Electric current Definition 22. One biampere (b A 2.4582283 A) is defined as bicoulomb per bisecond. The following relationships exist between binary current units and ampere: 1 nib A = 2.2894035e-9 A 1 A = 4.3679501e+8 nib A 1 uib A = 2.3443491e-6 A 1 A = 4.2655762e+5 uib A 1 mib A = 2.4006135e-3 A 1 A = 4.1656018e+2 mib A 1 cib A = 1.9204908e-2 A 1 A = 5.2070022e+1 cib A 1 dib A = 3.0727853e-1 A 1 A = 3.2543764e+0 dib A 1 b A = 2.4582283e+0 A 1 A = 4.0679705e-1 b A 1 daib A = 1.9665826e+1 A 1 A = 5.0849631e-2 daib A 1 hib A = 3.1465322e+2 A 1 A = 3.1781020e-3 hib A 1 Kib A = 2.5172257e+3 A 1 A = 3.9726274e-4 Kib A 1 Mib A = 2.5776391e+6 A 1 A = 3.8795190e-7 Mib A 1 Gib A = 2.6395025e+9 A 1 A = 3.7885928e-10 Gib A 3.10 Electric inductance Definition 23. One bihenry (b H 0.30147 H) is defined as kibigram square meter per square bicoulomb. The following relationships exist between binary inductance units and henry: 13 b S = 1/b Ω 1 nib H = 2.8076530e-10 H 1 H = 3.5616937e+9 nib H 1 uib H = 2.8750367e-7 H 1 H = 3.4782165e+6 uib H 1 mib H = 2.9440376e-4 H 1 H = 3.3966958e+3 mib H 1 cib H = 2.3552301e-3 H 1 H = 4.2458697e+2 cib H 1 dib H = 3.7683681e-2 H 1 H = 2.6536686e+1 dib H 14

1 b H = 3.0146945e-1 H 1 H = 3.3170857e+0 b H 1 daib H = 2.4117556e+0 H 1 H = 4.1463571e-1 daib H 1 hib H = 3.8588089e+1 H 1 H = 2.5914732e-2 hib H 1 Kib H = 3.0870472e+2 H 1 H = 3.2393415e-3 Kib H 1 Mib H = 3.1611363e+5 H 1 H = 3.1634194e-6 Mib H 1 Gib H = 3.2370036e+8 H 1 H = 3.0892768e-9 Gib H 3.11 Magnetic flux Definition 24. One biweber (b Wb 0.74108 Wb) is defined as kibigram square meter per bicoulomb bisecond. The following relationships exist between binary magnetic flux units and weber: 1 nib Wb = 6.9018520e-10 Wb 1 Wb = 1.4488865e+9 nib Wb 1 uib Wb = 7.0674965e-7 Wb 1 Wb = 1.4149282e+6 uib Wb 1 mib Wb = 7.2371164e-4 Wb 1 Wb = 1.3817658e+3 mib Wb 1 cib Wb = 5.7896931e-3 Wb 1 Wb = 1.7272073e+2 cib Wb 1 dib Wb = 9.2635089e-2 Wb 1 Wb = 1.0795045e+1 dib Wb 1 b Wb = 7.4108072e-1 Wb 1 Wb = 1.3493807e+0 b Wb 1 daib Wb = 5.9286457e+0 Wb 1 Wb = 1.6867258e-1 daib Wb 1 hib Wb = 9.4858332e+1 Wb 1 Wb = 1.0542037e-2 hib Wb 1 Kib Wb = 7.5886665e+2 Wb 1 Wb = 1.3177546e-3 Kib Wb 1 Mib Wb = 7.7707945e+5 Wb 1 Wb = 1.2868697e-6 Mib Wb 1 Gib Wb = 7.9572936e+8 Wb 1 Wb = 1.2567087e-9 Gib Wb 3.12 Magnetic field strength Definition 25. One bitesla (b T 0.411044 T) is defined as kibigram per bicoulomb bisecond. The following relationships exist between binary magnetic field strength units and tesla: 1 nib T = 3.8281439e-10 T 1 T = 2.6122320e+9 nib T 1 uib T = 3.9200193e-7 T 1 T = 2.5510078e+6 uib T 1 mib T = 4.0140998e-4 T 1 T = 2.4912186e+3 mib T 1 cib T = 3.2112798e-3 T 1 T = 3.1140232e+2 cib T 1 dib T = 5.1380477e-2 T 1 T = 1.9462645e+1 dib T 1 b T = 4.1104382e-1 T 1 T = 2.4328306e+0 b T 1 daib T = 3.2883506e+0 T 1 T = 3.0410383e-1 daib T 1 hib T = 5.2613609e+1 T 1 T = 1.9006489e-2 hib T 1 Kib T = 4.2090887e+2 T 1 T = 2.3758112e-3 Kib T 1 Mib T = 4.3101068e+5 T 1 T = 2.3201281e-6 Mib T 1 Gib T = 4.4135494e+8 T 1 T = 2.2657501e-9 Gib T 4 Unnamed derived units 4.1 Angle Definition 26. One bidegree (1 b ) is equal to 2 16 of the full angle (= 45 32 ) Definition 27. One biminute (1 b ) is equal to 2 6 of bidegree (= 45 2048 ) 15

Definition 28. One bisecond 14 (1 b ) is equal to 2 6 of biminute (= 45 131072 ) Units connected with geometry of the Euclidean space (radian, steradian) are used without any changes. 4.2 Area The main unit of area is square bimeter (b m 2 1.8029239 m 2 ). The following relationships exist between binary area units and square meter, square inch (6.4516 cm 2 ), square foot (929.0304 cm 2 ), square yard (0.83612736 m 2 ), square mile (2.589988110336 km 2 ) and acre (4046.8564224 m 2 ): 1 nib m 2 = 1.5637872e-18 m 2 1 m 2 = 6.3947320e+17 nib m 2 1 nib m 2 = 2.4238750e-15 inch 2 1 inch 2 = 4.1256253e+14 nib m 2 1 nib m 2 = 1.6832465e-17 ft 2 1 ft 2 = 5.9409004e+16 nib m 2 1 nib m 2 = 1.8702739e-18 yard 2 1 yard 2 = 5.3468104e+17 nib m 2 1 nib m 2 = 6.0378161e-25 mile 2 1 mile 2 = 1.6562280e+24 nib m 2 1 nib m 2 = 3.8642023e-22 acre 1 acre = 2.5878562e+21 nib m 2 1 uib m 2 = 1.6397497e-12 m 2 1 m 2 = 6.0984917e+11 uib m 2 1 uib m 2 = 2.5416171e-9 inch 2 1 inch 2 = 3.9345029e+8 uib m 2 1 uib m 2 = 1.7650119e-11 ft 2 1 ft 2 = 5.6656842e+10 uib m 2 1 uib m 2 = 1.9611243e-12 yard 2 1 yard 2 = 5.0991158e+11 uib m 2 1 uib m 2 = 6.3311090e-19 mile 2 1 mile 2 = 1.5795021e+18 uib m 2 1 uib m 2 = 4.0519098e-16 acre 1 acre = 2.4679720e+15 uib m 2 1 mib m 2 = 1.7194022e-6 m 2 1 m 2 = 5.8159749e+5 mib m 2 1 mib m 2 = 2.6650787e-3 inch 2 1 inch 2 = 3.7522344e+2 mib m 2 1 mib m 2 = 1.8507491e-5 ft 2 1 ft 2 = 5.4032175e+4 mib m 2 1 mib m 2 = 2.0563879e-6 yard 2 1 yard 2 = 4.8628957e+5 mib m 2 1 mib m 2 = 6.6386490e-13 mile 2 1 mile 2 = 1.5063306e+12 mib m 2 1 mib m 2 = 4.2487354e-10 acre 1 acre = 2.3536415e+9 mib m 2 1 cib m 2 = 1.1004174e-4 m 2 1 m 2 = 9.0874608e+3 cib m 2 1 cib m 2 = 1.7056504e-1 inch 2 1 inch 2 = 5.8628662e+0 cib m 2 1 cib m 2 = 1.1844794e-3 ft 2 1 ft 2 = 8.4425273e+2 cib m 2 1 cib m 2 = 1.3160883e-4 yard 2 1 yard 2 = 7.5982746e+3 cib m 2 1 cib m 2 = 4.2487354e-11 mile 2 1 mile 2 = 2.3536415e+10 cib m 2 1 cib m 2 = 2.7191906e-8 acre 1 acre = 3.6775649e+7 cib m 2 1 dib m 2 = 2.8170686e-2 m 2 1 m 2 = 3.5497894e+1 dib m 2 1 dib m 2 = 4.3664650e+1 inch 2 1 inch 2 = 2.2901821e-2 dib m 2 1 dib m 2 = 3.0322674e-1 ft 2 1 ft 2 = 3.2978622e+0 dib m 2 1 dib m 2 = 3.3691860e-2 yard 2 1 yard 2 = 2.9680760e+1 dib m 2 1 dib m 2 = 1.0876763e-8 mile 2 1 mile 2 = 9.1939122e+7 dib m 2 1 dib m 2 = 6.9611280e-6 acre 1 acre = 1.4365488e+5 dib m 2 1 b m 2 = 1.8029239e+0 m 2 1 m 2 = 5.5465459e-1 b m 2 1 b m 2 = 2.7945376e+3 inch 2 1 inch 2 = 3.5784095e-4 b m 2 1 b m 2 = 1.9406511e+1 ft 2 1 ft 2 = 5.1529097e-2 b m 2 1 b m 2 = 2.1562790e+0 yard 2 1 yard 2 = 4.6376188e-1 b m 2 1 b m 2 = 6.9611280e-7 mile 2 1 mile 2 = 1.4365488e+6 b m 2 1 b m 2 = 4.4551219e-4 acre 1 acre = 2.2446075e+3 b m 2 1 daib m 2 = 1.1538713e+2 m 2 1 m 2 = 8.6664779e-3 daib m 2 1 daib m 2 = 1.7885041e+5 inch 2 1 inch 2 = 5.5912649e-6 daib m 2 1 daib m 2 = 1.2420167e+3 ft 2 1 ft 2 = 8.0514215e-4 daib m 2 1 daib m 2 = 1.3800186e+2 yard 2 1 yard 2 = 7.2462793e-3 daib m 2 1 daib m 2 = 4.4551219e-5 mile 2 1 mile 2 = 2.2446075e+4 daib m 2 1 daib m 2 = 2.8512780e-2 acre 1 acre = 3.5071992e+1 daib m 2 1 hib m 2 = 2.9539105e+4 m 2 1 m 2 = 3.3853429e-5 hib m 2 1 hib m 2 = 4.5785704e+7 inch 2 1 inch 2 = 2.1840879e-8 hib m 2 1 hib m 2 = 3.1795628e+5 ft 2 1 ft 2 = 3.1450865e-6 hib m 2 1 hib m 2 = 3.5328475e+4 yard 2 1 yard 2 = 2.8305779e-5 hib m 2 14 not to be confused with time unit! 16

1 hib m 2 = 1.1405112e-2 mile 2 1 mile 2 = 8.7679980e+1 hib m 2 1 hib m 2 = 7.2992718e+0 acre 1 acre = 1.3699997e-1 hib m 2 1 Kib m 2 = 1.8905027e+6 m 2 1 m 2 = 5.2895983e-7 Kib m 2 1 Kib m 2 = 2.9302851e+9 inch 2 1 inch 2 = 3.4126373e-10 Kib m 2 1 Kib m 2 = 2.0349202e+7 ft 2 1 ft 2 = 4.9141977e-8 Kib m 2 1 Kib m 2 = 2.2610224e+6 yard 2 1 yard 2 = 4.4227779e-7 Kib m 2 1 Kib m 2 = 7.2992718e-1 mile 2 1 mile 2 = 1.3699997e+0 Kib m 2 1 Kib m 2 = 4.6715339e+2 acre 1 acre = 2.1406245e-3 Kib m 2 1 Mib m 2 = 1.9823358e+12 m 2 1 m 2 = 5.0445541e-13 Mib m 2 1 Mib m 2 = 3.0726266e+15 inch 2 1 inch 2 = 3.2545445e-16 Mib m 2 1 Mib m 2 = 2.1337685e+13 ft 2 1 ft 2 = 4.6865441e-14 Mib m 2 1 Mib m 2 = 2.3708538e+12 yard 2 1 yard 2 = 4.2178897e-13 Mib m 2 1 Mib m 2 = 7.6538412e+5 mile 2 1 mile 2 = 1.3065335e-6 Mib m 2 1 Mib m 2 = 4.8984584e+8 acre 1 acre = 2.0414586e-9 Mib m 2 1 Gib m 2 = 2.0786297e+18 m 2 1 m 2 = 4.8108617e-19 Gib m 2 1 Gib m 2 = 3.2218825e+21 inch 2 1 inch 2 = 3.1037755e-22 Gib m 2 1 Gib m 2 = 2.2374184e+19 ft 2 1 ft 2 = 4.4694367e-20 Gib m 2 1 Gib m 2 = 2.4860204e+18 yard 2 1 yard 2 = 4.0224931e-19 Gib m 2 1 Gib m 2 = 8.0256342e+11 mile 2 1 mile 2 = 1.2460075e-12 Gib m 2 1 Gib m 2 = 5.1364059e+14 acre 1 acre = 1.9468866e-15 Gib m 2 4.3 Volume The main unit of volume is cubic bimeter (b m 3 2.42084 m 2 ). Definition 29. One biliter (1 b l 4.728203 l) is equal to one cubic dibimeter (1 dib m 3 ). The following relationships exist between binary volume units and cubic meter, cubic inch (16.387064 cm 3 ), cubic foot (28.3168 dm 3 ), and gallon (3.78541 dm 3 ): 1 nib m 3 = 1.9555390e-27 m 3 1 m 3 = 5.1136797e+26 nib m 3 1 nib m 3 = 1.1933431e-22 inch 3 1 inch 3 = 8.3798197e+21 nib m 3 1 nib m 3 = 6.9059207e-26 ft 3 1 ft 3 = 1.4480328e+25 nib m 3 1 nib m 3 = 5.1659874e-25 gallon 1 gallon = 1.9357383e+24 nib m 3 1 uib m 3 = 2.0997440e-18 m 3 1 m 3 = 4.7624854e+17 uib m 3 1 uib m 3 = 1.2813424e-13 inch 3 1 inch 3 = 7.8043152e+12 uib m 3 1 uib m 3 = 7.4151759e-17 ft 3 1 ft 3 = 1.3485857e+16 uib m 3 1 uib m 3 = 5.5469368e-16 gallon 1 gallon = 1.8027968e+15 uib m 3 1 mib m 3 = 2.2545829e-9 m 3 1 m 3 = 4.4354101e+8 mib m 3 1 mib m 3 = 1.3758309e-4 inch 3 1 inch 3 = 7.2683350e+3 mib m 3 1 mib m 3 = 7.9619845e-8 ft 3 1 ft 3 = 1.2559683e+7 mib m 3 1 mib m 3 = 5.9559780e-7 gallon 1 gallon = 1.6789854e+6 mib m 3 1 cib m 3 = 1.1543465e-6 m 3 1 m 3 = 8.6629104e+5 cib m 3 1 cib m 3 = 7.0442543e-2 inch 3 1 inch 3 = 1.4195967e+1 cib m 3 1 cib m 3 = 4.0765361e-5 ft 3 1 ft 3 = 2.4530631e+4 cib m 3 1 cib m 3 = 3.0494607e-4 gallon 1 gallon = 3.2792683e+3 cib m 3 1 dib m 3 = 4.7282031e-3 m 3 1 m 3 = 2.1149684e+2 dib m 3 1 dib m 3 = 2.8853266e+2 inch 3 1 inch 3 = 3.4658122e-3 dib m 3 1 dib m 3 = 1.6697492e-1 ft 3 1 ft 3 = 5.9889235e+0 dib m 3 1 dib m 3 = 1.2490591e+0 gallon 1 gallon = 8.0060262e-1 dib m 3 1 b m 3 = 2.4208400e+0 m 3 1 m 3 = 4.1307976e-1 b m 3 1 b m 3 = 1.4772872e+5 inch 3 1 inch 3 = 6.7691644e-6 b m 3 1 b m 3 = 8.5491158e+1 ft 3 1 ft 3 = 1.1697116e-2 b m 3 1 b m 3 = 6.3951827e+2 gallon 1 gallon = 1.5636770e-3 b m 3 1 daib m 3 = 1.2394701e+3 m 3 1 m 3 = 8.0679640e-4 daib m 3 1 daib m 3 = 7.5637105e+7 inch 3 1 inch 3 = 1.3221024e-8 daib m 3 1 daib m 3 = 4.3771473e+4 ft 3 1 ft 3 = 2.2845930e-5 daib m 3 1 daib m 3 = 3.2743335e+5 gallon 1 gallon = 3.0540566e-6 daib m 3 1 hib m 3 = 5.0768694e+6 m 3 1 m 3 = 1.9697178e-7 hib m 3 17

1 hib m 3 = 3.0980958e+11 inch 3 1 inch 3 = 3.2277891e-12 hib m 3 1 hib m 3 = 1.7928795e+8 ft 3 1 ft 3 = 5.5776196e-9 hib m 3 1 hib m 3 = 1.3411670e+9 gallon 1 gallon = 7.4561929e-10 hib m 3 1 Kib m 3 = 2.5993572e+9 m 3 1 m 3 = 3.8471050e-10 Kib m 3 1 Kib m 3 = 1.5862251e+14 inch 3 1 inch 3 = 6.3042756e-15 Kib m 3 1 Kib m 3 = 9.1795432e+10 ft 3 1 ft 3 = 1.0893788e-11 Kib m 3 1 Kib m 3 = 6.8667751e+11 gallon 1 gallon = 1.4562877e-12 Kib m 3 1 Mib m 3 = 2.7910385e+18 m 3 1 m 3 = 3.5828958e-19 Mib m 3 1 Mib m 3 = 1.7031962e+23 inch 3 1 inch 3 = 5.8713142e-24 Mib m 3 1 Mib m 3 = 9.8564594e+19 ft 3 1 ft 3 = 1.0145631e-20 Mib m 3 1 Mib m 3 = 7.3731437e+20 gallon 1 gallon = 1.3562736e-21 Mib m 3 1 Gib m 3 = 2.9968548e+27 m 3 1 m 3 = 3.3368317e-28 Gib m 3 1 Gib m 3 = 1.8287930e+32 inch 3 1 inch 3 = 5.4680875e-33 Gib m 3 1 Gib m 3 = 1.0583293e+29 ft 3 1 ft 3 = 9.4488552e-30 Gib m 3 1 Gib m 3 = 7.9168527e+29 gallon 1 gallon = 1.2631282e-30 Gib m 3 4.4 Density The main density unit is kibigram per cubic bimeter (1 Kib g/b m 3 0.603337 kg/m 3 ). An useful recommended unit is b g/cib m 3 ( 0.60334 g/cm 3 ). 4.5 Speed The main speed unit is bimeter per bisecond (1 b m/b s 1.11681 m/s). An useful unit is Kib m/b h ( 1.005133 km/h). The speed of light in vacuum is equal to 2 28 b m/b s = 28 đ[b m/b s]. 4.6 Other units Unit Abbreviation Quantity Value square bimeter b m 2 area 1.80292 m 2 cubic bimeter b m 3 volume 2.42084 m 3 bimeter / bisecond b m/b s speed, velocity 1.11681 m s 1 cubic bimeter / bisecond b m 3 /b s volumetric flow 2.01353 m 3 s 1 bimeter / square bisecond b m/b s 2 acceleration 0.92890 m s 2 bimeter / cubic bisecond b m/b s 3 jerk, jolt 0.77261 m s 3 bimeter / quartic bisecond b m/b s 4 snap, jounce 0.64242 m s 4 binewton bisecond b N b s momentum, impulse 1.63120 kg m s 1 binewton bimeter bisecond b N b m b s angular momentum 2.19025 kg m 2 s 1 binewton meter b N b m torque, moment of force 1.82175 kg m 2 s 2 binewton / bisecond b N/b s yank 1.12847 kg m s 3 kibigram / square bimeter Kib g/b m 2 area density 0.81012 kg m 2 kibigram / cubic bimeter Kib g/b m 3 density, mass density 0.60334 kg m 3 cubic bimeter / kibigram b m 3 /Kib g specific volume 1.65745 m 3 kg 1 bimole / cubic bimeter b mol/b m 3 molarity 0.41462 mol m 3 cubic bimeter / bimole b m 3 /b mol molar volume 2.41183 mol 1 m 3 bijoule second b J b s action 2.19026 kg m 2 s 1 bijoule / bikelvin b J/b K heat capacity, entropy 1.64870 kg m 2 s 2 K 1 bijoule / bikelvin mole b J/(b K b mol) molar heat capacity 1.64257 kg m 2 mol 1 s 2 K 1 bijoule / kibigram bikelvin b J/(Kib g bk) specific heat capacity 1.12880 m 2 s 2 K 1 bijoule / bimole b J/b mol molar energy 1.81497 kg m 2 mol 1 s 2 bijoule / kibigram b J/Kib g specific energy 1.24728 m 2 s 2 bijoule / cubic bimeter b J/b m 3 energy density 0.75253 kg m 1 s 2 binewton / bimeter b N/b m surface tension, stiffness 1.01044 kg s 2 biwatt / square bimeter b W/b m 2 heat flux density, irradiance 0.84043 kg s 3 biwatt / bimeter bikelvin b W/(b m bk) thermal conductivity 1.02128 kg m s 3 K 1 square bimeter / bisecond b m 2 /b s kinematic viscosity 1.49958 m 2 s 1 bipascal bisecond b Pa b s dynamic viscosity 0.90475 kg m 1 s 1 bicoulomb / square bimeter b C/b m 2 electric displacement field 1.63928 s A m 2 bicoulomb / cubic bimeter b C/b m 3 electric charge density 1.22085 s A m 3 bicoulomb / square bimeter bisecond b C/(b m 2 b s) electric current density 1.36347 A m 2 bisiemens / bimeter b S/b m electrical conductivity 2.97013 s 3 A 2 kg 1 m 3 bisiemens square bimeter / bimole (b S b m 2 )/b mol molar conductivity 7.16347 kg 1 s 3 mol 1 A 2 18

bifarad / bimeter b F/b m permittivity 3.57095 m 3 kg 1 s 4 A 2 bihenry / bimeter b H/b m magnetic permeability 0.22452 kg m s 2 A 2 bivolt / bimeter b V/b m electric field strength 0.45906 m kg s 3 A 1 biampere / bimeter b A/b m magnetic field strength 1.83077 A m 1 bicoulomb / kibigram b C/Kib g exposure 2.02350 s A kg 1 biohm bimeter b Ω b m resistivity 0.33669 m 3 kg s 3 A 2 kibigram / bimeter Kib g/b m linear mass density 1.08777 m 1 kg bicoulomb / bimeter b C/b m linear charge density 2.20111 m 1 C bimole / kibigram b mol/kib g molality 0.68721 kg 1 mol kibigram / bimole Kib g/b mol molar mass 1.45515 kg mol 1 kibigram / bisecond Kib g/b s mass flow rate 1.21484 kg s 1 bijoule / bitesla b J/b T magnetic dipole moment 4.43200 m 2 A biwatt / cubic bimeter b W/b m 3 spectral irradiance 0.62591 m 1 kg s 3 bikelvin / biwatt b K/b W thermal resistance 0.72923 m 2 kg 1 s 3 K bikelvin / bimeter b K/b m temperature gradient 0.82292 m 1 K square meter / volt second b m 2 /(b V b s) electron mobility 2.43283 kg 1 s 2 A bijoule / square bimeter bisecond b J/(b m 2 b s) energy flux density 0.84043 kg s 3 biweber / bimeter b Wb/b m magnetic vector potential 0.55192 kg m s 2 A 1 biweber bimeter b Wb b m magnetic moment 0.99507 kg m 3 s 2 A 1 bitesla bimeter b T b m magnetic rigidity 0.55192 kg m s 2 A 1 bijoule / square bimeter b J/b m 2 radiant exposure 1.01044 kg s 2 cubic bimeter / bimole bisecond b m 3 /(b mol b s) catalytic efficiency 2.00604 m 3 s 1 mol 1 kibigram square bimeter Kib g b m 2 moment of inertia 2.63332 m 2 kg binewton bimeter bisecond / kibigram (b N b m b s)/kib g specific angular momentum 1.49957 m 2 s 1 bhertz / bisecond b Hz/b s frequency drift 0.69181 s 2 bimeter / bihenry b m/b H magnetic susceptibility 4.45395 m 1 kg 1 s 2 A 2 A Appendix The following table contains conversion coefficients for product combinations of kibigram, bimeter, bimole, bisecond, bicoulomb and bikelvin, with various exponents. Most of them are never used in practice, however they were computed for a reference. The following ranges of the exponents were considered: 1 1 for kibigram, 3 3 for bimeter, 1 1 for b mol, 3 1 for bisecond, 2 2 for bicoulomb and 3 0 for bikelvin. Exponents 0 0 0 0 0 0 1 1.0000000e+0 1 0 0 0 0 0 1 b K 1.1049559e+0 K 0 0 0 0 0-1 1/b K 9.0501348e-1 1/K 0 0 0 0 0-2 1/b K 2 8.1904940e-1 1/K 2 0 0 0 0 0-3 1/b K 3 7.4125074e-1 1/K 3 0 0 0 0 1 0 b C 2.9554940e+0 s*a 0 0 0 0 1 1 b C*b K 3.2656905e+0 s*a*k 0 0 0 0 1-1 b C/b K 2.6747619e+0 (s*a)/k 0 0 0 0 1-2 b C/b K 2 2.4206955e+0 (s*a)/k 2 0 0 0 0 1-3 b C/b K 3 2.1907621e+0 (s*a)/k 3 0 0 0 0-1 0 1/b C 3.3835292e-1 1/(s*A) 0 0 0 0-1 1 b K/b C 3.7386506e-1 K/(s*A) 0 0 0 0-1 -1 1/(b C*bK) 3.0621395e-1 1/(s*A*K) 0 0 0 0-1 -2 1/(b C*b K 2 ) 2.7712775e-1 1/(s*A*K 2 ) 0 0 0 0-1 -3 1/(b C*b K 3 ) 2.5080435e-1 1/(s*A*K 3 ) 0 0 0 0 2 0 b C 2 8.7349446e+0 s 2 *A 2 0 0 0 0 2 1 b C 2 *b K 9.6517287e+0 s 2 *A 2 *K 0 0 0 0 2-1 b C 2 /b K 7.9052426e+0 (s 2 *A 2 )/K 0 0 0 0 2-2 b C 2 /b K 2 7.1543511e+0 (s 2 *A 2 )/K 2 0 0 0 0 2-3 b C 2 /b K 3 6.4747841e+0 (s 2 *A 2 )/K 3 0 0 0 0-2 0 1/b C 2 1.1448270e-1 1/(s 2 *A 2 ) 0 0 0 0-2 1 b K/b C 2 1.2649833e-1 K/(s 2 *A 2 ) 0 0 0 0-2 -1 1/(b C 2 *bk) 1.0360838e-1 1/(s 2 *A 2 *K) 0 0 0 0-2 -2 1/(b C 2 *b K 2 ) 9.3766983e-2 1/(s 2 *A 2 *K 2 ) 0 0 0 0-2 -3 1/(b C 2 *b K 3 ) 8.4860383e-2 1/(s 2 *A 2 *K 3 ) 0 0 0 1 0 0 b s 1.2022862e+0 s 0 0 0 1 0 1 b s*b K 1.3284733e+0 s*k 0 0 0 1 0-1 b s/b K 1.0880852e+0 s/k 0 0 0 1 0-2 b s/b K 2 9.8473181e-1 s/k 2 0 0 0 1 0-3 b s/b K 3 8.9119556e-1 s/k 3 0 0 0 1 1 0 b s*b C 3.5533497e+0 s 2 *A 0 0 0 1 1 1 b s*b C*b K 3.9262948e+0 s 2 *A*K 0 0 0 1 1-1 (b s*b C)/b K 3.2158293e+0 (s 2 *A)/K 19

0 0 0 1 1-2 (b s*b C)/b K 2 2.9103689e+0 (s 2 *A)/K 2 0 0 0 1 1-3 (b s*b C)/b K 3 2.6339231e+0 (s 2 *A)/K 3 0 0 0 1-1 0 b s/b C 4.0679705e-1 1/A 0 0 0 1-1 1 (b s*bk)/b C 4.4949281e-1 K/A 0 0 0 1-1 -1 b s/(b C*bK) 3.6815681e-1 1/(A*K) 0 0 0 1-1 -2 b s/(b C*b K 2 ) 3.3318688e-1 1/(A*K 2 ) 0 0 0 1-1 -3 b s/(b C*b K 3 ) 3.0153862e-1 1/(A*K 3 ) 0 0 0 1 2 0 b s*b C 2 1.0501904e+1 s 3 *A 2 0 0 0 1 2 1 b s*b C 2 *b K 1.1604140e+1 s 3 *A 2 *K 0 0 0 1 2-1 (b s*b C 2 )/b K 9.5043642e+0 (s 3 *A 2 )/K 0 0 0 1 2-2 (b s*b C 2 )/b K 2 8.6015777e+0 (s 3 *A 2 )/K 2 0 0 0 1 2-3 (b s*b C 2 )/b K 3 7.7845438e+0 (s 3 *A 2 )/K 3 0 0 0 1-2 0 b s/b C 2 1.3764097e-1 1/(s*A 2 ) 0 0 0 1-2 1 (b s*bk)/b C 2 1.5208720e-1 K/(s*A 2 ) 0 0 0 1-2 -1 b s/(b C 2 *bk) 1.2456693e-1 1/(s*A 2 *K) 0 0 0 1-2 -2 b s/(b C 2 *b K 2 ) 1.1273475e-1 1/(s*A 2 *K 2 ) 0 0 0 1-2 -3 b s/(b C 2 *b K 3 ) 1.0202647e-1 1/(s*A 2 *K 3 ) 0 0 0-1 0 0 1/b s 8.3174870e-1 1/s 0 0 0-1 0 1 b K/b s 9.1904565e-1 K/s 0 0 0-1 0-1 1/(b s*bk) 7.5274378e-1 1/(s*K) 0 0 0-1 0-2 1/(b s*b K 2 ) 6.8124327e-1 1/(s*K 2 ) 0 0 0-1 0-3 1/(b s*b K 3 ) 6.1653434e-1 1/(s*K 3 ) 0 0 0-1 1 0 b C/b s 2.4582283e+0 A 0 0 0-1 1 1 (b C*bK)/b s 2.7162339e+0 A*K 0 0 0-1 1-1 b C/(b s*bk) 2.2247297e+0 A/K 0 0 0-1 1-2 b C/(b s*b K 2 ) 2.0134104e+0 A/K 2 0 0 0-1 1-3 b C/(b s*b K 3 ) 1.8221635e+0 A/K 3 0 0 0-1 -1 0 1/(b s*b C) 2.8142460e-1 1/(s 2 *A) 0 0 0-1 -1 1 b K/(b s*b C) 3.1096177e-1 K/(s 2 *A) 0 0 0-1 -1-1 1/(b s*b C*bK) 2.5469305e-1 1/(s 2 *A*K) 0 0 0-1 -1-2 1/(b s*b C*b K 2 ) 2.3050065e-1 1/(s 2 *A*K 2 ) 0 0 0-1 -1-3 1/(b s*b C*b K 3 ) 2.0860619e-1 1/(s 2 *A*K 3 ) 0 0 0-1 2 0 b C 2 /b s 7.2652788e+0 s*a 2 0 0 0-1 2 1 (b C 2 *bk)/b s 8.0278128e+0 s*a 2 *K 0 0 0-1 2-1 b C 2 /(b s*bk) 6.5751752e+0 (s*a 2 )/K 0 0 0-1 2-2 b C 2 /(b s*b K 2 ) 5.9506222e+0 (s*a 2 )/K 2 0 0 0-1 2-3 b C 2 /(b s*b K 3 ) 5.3853933e+0 (s*a 2 )/K 3 0 0 0-1 -2 0 1/(b s*b C 2 ) 9.5220833e-2 1/(s 3 *A 2 ) 0 0 0-1 -2 1 b K/(b s*b C 2 ) 1.0521482e-1 K/(s 3 *A 2 ) 0 0 0-1 -2-1 1/(b s*b C 2 *bk) 8.6176137e-2 1/(s 3 *A 2 *K) 0 0 0-1 -2-2 1/(b s*b C 2 *b K 2 ) 7.7990566e-2 1/(s 3 *A 2 *K 2 ) 0 0 0-1 -2-3 1/(b s*b C 2 *b K 3 ) 7.0582513e-2 1/(s 3 *A 2 *K 3 ) 0 0 0-2 0 0 1/b s 2 6.9180589e-1 1/s 2 0 0 0-2 0 1 b K/b s 2 7.6441502e-1 K/s 2 0 0 0-2 0-1 1/(b s 2 *bk) 6.2609366e-1 1/(s 2 *K) 0 0 0-2 0-2 1/(b s 2 *b K 2 ) 5.6662320e-1 1/(s 2 *K 2 ) 0 0 0-2 0-3 1/(b s 2 *b K 3 ) 5.1280163e-1 1/(s 2 *K 3 ) 0 0 0-2 1 0 b C/b s 2 2.0446281e+0 A/s 0 0 0-2 1 1 (b C*bK)/b s 2 2.2592240e+0 (A*K)/s 0 0 0-2 1-1 b C/(b s 2 *bk) 1.8504160e+0 A/(s*K) 0 0 0-2 1-2 b C/(b s 2 *b K 2 ) 1.6746514e+0 A/(s*K 2 ) 0 0 0-2 1-3 b C/(b s 2 *b K 3 ) 1.5155821e+0 A/(s*K 3 ) 0 0 0-2 -1 0 1/(b s 2 *b C) 2.3407454e-1 1/(s 3 *A) 0 0 0-2 -1 1 b K/(b s 2 *b C) 2.5864205e-1 K/(s 3 *A) 0 0 0-2 -1-1 1/(b s 2 *b C*bK) 2.1184062e-1 1/(s 3 *A*K) 0 0 0-2 -1-2 1/(b s 2 *b C*b K 2 ) 1.9171861e-1 1/(s 3 *A*K 2 ) 0 0 0-2 -1-3 1/(b s 2 *b C*b K 3 ) 1.7350793e-1 1/(s 3 *A*K 3 ) 0 0 0-2 2 0 b C 2 /b s 2 6.0428861e+0 A 2 0 0 0-2 2 1 (b C 2 *bk)/b s 2 6.6771228e+0 A 2 *K 0 0 0-2 2-1 b C 2 /(b s 2 *bk) 5.4688934e+0 A 2 /K 0 0 0-2 2-2 b C 2 /(b s 2 *b K 2 ) 4.9494222e+0 A 2 /K 2 0 0 0-2 2-3 b C 2 /(b s 2 *b K 3 ) 4.4792938e+0 A 2 /K 3 0 0 0-2 -2 0 1/(b s 2 *b C 2 ) 7.9199804e-2 1/(s 4 *A 2 ) 0 0 0-2 -2 1 b K/(b s 2 *b C 2 ) 8.7512292e-2 K/(s 4 *A 2 ) 0 0 0-2 -2-1 1/(b s 2 *b C 2 *bk) 7.1676890e-2 1/(s 4 *A 2 *K) 0 0 0-2 -2-2 1/(b s 2 *b C 2 *b K 2 ) 6.4868551e-2 1/(s 4 *A 2 *K 2 ) 0 0 0-2 -2-3 1/(b s 2 *b C 2 *b K 3 ) 5.8706913e-2 1/(s 4 *A 2 *K 3 ) 0 0 0-3 0 0 1/b s 3 5.7540865e-1 1/s 3 0 0 0-3 0 1 b K/b s 3 6.3580120e-1 K/s 3 0 0 0-3 0-1 1/(b s 3 *bk) 5.2075258e-1 1/(s 3 *K) 0 0 0-3 0-2 1/(b s 3 *b K 2 ) 4.7128811e-1 1/(s 3 *K 2 ) 0 0 0-3 0-3 1/(b s 3 *b K 3 ) 4.2652209e-1 1/(s 3 *K 3 ) 0 0 0-3 1 0 b C/b s 3 1.7006168e+0 A/s 2 0 0 0-3 1 1 (b C*bK)/b s 3 1.8791066e+0 (A*K)/s 2 0 0 0-3 1-1 b C/(b s 3 *bk) 1.5390811e+0 A/(s 2 *K) 0 0 0-3 1-2 b C/(b s 3 *b K 2 ) 1.3928892e+0 A/(s 2 *K 2 ) 0 0 0-3 1-3 b C/(b s 3 *b K 3 ) 1.2605835e+0 A/(s 2 *K 3 ) 20