The hexadecimal metric system
 abbreviated internationally SMH for the french term système métrique hexadécimal

 Introduction
 1 The seven base units of SMH and their respective names of unit
 1.1 Time, with the base unit: hexaitimple
 1.2 Thermodynamic temperature, base unit: hexaiKelvin
 1.3 Length, base unit: hexaimetre
 1.3.0 The digital foot ruler comprises onety digits
 1.3.1 The main system of even magnitudes
 1.3.2 The subsystem of odd magnitudes
 1.3.3 The digital foot already exists as Viennese foot
 1.4 Mass, base unit: hexaagram
 1.4.1 The main system of even magnitudes
 1.4.2 The subsystem of odd magnitudes
 1.4.3 The weights of an analogical balance, called stones
 1.4.3.1 The eight additional stones
 1.4.3.2 The named stones in several languages
 1.5 Amount of substance, base unit: hexaimole
 1.6 Electric current, base unit: hexaiAmpère
 1.7 Luminous intensity, base unit: hexaicandela

 2 Some deduced units
 2.1 The SMH velocity unit: hexaiEinstein
 2.2 The SMH area unit: square hexaimetre
 2.3 The SMH volume unit: hexaalitre
 2.3.1 The main volumes
 2.3.2 The "picot" serie
 2.4 The SMH frequency unit: hexaiHertz
 2.4.1 Frequency of typical visible light
 2.4.2 Frequency of the musical note Sol
 2.5 The SMH information units:
 2.5.1 The number of bits: names for the bitlength
 2.5.2 The information quantity:
 2.5.2.1 hexaiByte (depreciated)
 2.5.2.2 hexaifit (commendable)
 2.5.3 The
symbol rate: hexaiBaud
 2.6 The SMH units of force, pressure, energy and power

 3 Some mathematical units
 3.1 The hexadecimal percentage
 3.2 The hexadecimal angle units
 3.2.1 The hexadecimal arc degree
 3.2.2 The hexadecimal radian

 4 Additional explications
 4.1 Digits and letters
 4.1.1 The omniliteral hexadecimal digits
 4.1.2 A hexadecimal multiplication table with omniliteral digits
 4.1.3 The rank inside magnitudes
 4.1.4 The hexadecimal alphabet, in its lexicographical order
 4.2 The hexadecimal number names
 4.3 The hexadecimal point, the millions separator, etc.
 4.4 User royalties?

 5 Also see

New civil, historical and astronomical chronology and the Civil Calendar

 6 References

 7 External links


Introduction
The hexadecimal metric system – abbreviated internationally SMH for: "système métrique hexadécimal" – was developed in spring 1989 by Michael Florencetime. This system uses the socalled "omniliteral" hexadecimal numerical system ^{[1]}, also defined by M. Florencetime, Paris. It avoids the ambiguous IBM extension A to F.
A deliberated polemical foreword:
History
For the beginning of the year 1991, during about two years, this new proposal for a modern hexadecimal system of weights and measures has been diffused in Paris in about eight thousand autoedited compendium exemplars.
All the great French newspapers, as many French revues just like the French pressagency afp also received such resume exemplars. Never any French print media related it.
The therefor cause is all too obvious:
In France – since more than 200 years – the decimal metric system is a kind of "state religion".
Because the decimal metric system – with the presuming and vain devise: "For all people, for all time." – is said to have been inspired by the celebrated and adored "Goddess Reason" of the French Revolution times herself, therefore, in France, none other serious proposal can exist.
Is it necessary to remember that the first law establishing the decimal metre was adopted by the National Convention in 1793 August 1 by the regime called Reign of Terror ?
The decimal metric system must be the final hindmost law established by this regime Reign of Terror now still applied. – Naturally, it is great time to abolish it forevermore !
Present
If however a new, better, proposed system well exists – that's the case – in France, the selfcalled "country of the Human Rights", it must be denied and must be censored by any provided possibilities. That's "Raison d'État". None French publication would ever dare to breach it.
So currently, this dissident proposal – in France – is effectively censored.
As proof : Since december 2003 a good referred, good frequented site in French language is constantly online. Many Parisian and French citizens already know these consistent proposals or at least heard speaking about.
But the censorship of the whole French print media still occults this limpid, explicit and perspicacious scientific work. Since 1991. Fifteen years. Be it ! But not much longer.
In the world entire there must be at least one free media – excepting Wikipedia talk pages – not rendering homage to the French bourgeois blacklisting oppression, denying this now existent contribution to science and technology.
Then " alors " the hexadecimal metric system will not disappear de la round table before the S M H is not recognised as the predominant standard measuring system.
We come back, also in sciences, to our at least five millennia old footbased measures. The barbarism of that decimal metre was only a bicentenarian parenthesis in metrology.
Colleagues
The revered colleague Nicolaus, as like as his pleader GeeGee of Pisa, died in Arcetri, now a borough of Florence, send greetings. Or, still how many years, the lie that Cape Dezhnev in Bering Strait belongs to the western hemisphere should be continued to be told at school ? Our friend Albert ^{ [2]} smiles benignly, finally he repeats : " If at first the idea is not absurd, then there is no hope for it."
Devise
The own motto of the hexadecimal metric system is : Two thumbs, eight other fingers. Twice eight equals onety.
Conclusion
The decisive advantage of a decimal metric system is, its capacity to express all the units in a positional arithmetic system.
Highly composite number orientated ancient systems of weights and measures don't possess this quality, nor can ever hold.
The decimal metric won exclusively for this reason. However till nowadays, it never made unanimity, for more than 200 years. – Memento Pyrrhus and his victory.
Many people still nowadays reject it. That is, because it is not footbased like all the other systems in human civilisation for more than five millennia.
Therefore, measurement of lengths, based on the length of a human foot, must be considered as an intrinsic and essential cultural asset of humanity !
Thus, in reverse, the decimal metric system must be qualified to be a completed and consummated barbarism. The expression of a lack of culture.
The bloodthirsty political context of its introduction in France, 1793 validates convincingly this appreciation. Therefore, 200 years after, its hegemony is still uncompleted.
Howsoever, the present hexadecimal International System of Units – of course, an absolute positional system – is the gravedigger of this outdated, inferior decimal SI.
The AngloSaxons with their foot practised successfully « l’exception culturelle » ; the other way round. – Just long enough for advent of the hexadecimal metric system.
Sure, now also the English foot will perish, since it is one of 49 parts too long. The now defined universal foot, shared into 16 digits, is objectively superior. It will win .
PS. It seems, that France, the other day, was the seventh country the most prosper all around the world. — Nowadays, it is the seventeenth only one...
For this, the just cause could be the fact, that France continues to oppress the SMH for sixteen years !
The seven base units of SMH and their respective names of unit
Time, with the base unit: "hexaitimple"
Definition (since 1989) :

One hexaitimple equals exactly 675 s / 1024 , i.e. 0. 659 179 687 5 second.


The current hexadecimal time format is : BQ.QQ'q H = 12 H 00 minute 00 s (noon).
Thus the full circle has twice sixteen hexadecimal degrees (cf. main meridians): PQ°QQ'q = 360° 00' 00".
The octave unit is not implemented in civil calendar , where the sevenday week is maintained as the closest integer value of a mean lunar phase, since 29.53 / 4 7. The octave unit as A.O.C. (Astronomical Octave Coordinated) has replaced this not consistent Julian Day. For this new astronomical numeration TQQQQ.qqqqq A.O.C. is arbitrarily defined at A.D. 2048, January 1st at 00 H 00 min. 00 s UTC of Florence.*
Note, that it will be due that our expectancy of life in the developed countries will attain or even exceed thousand octaves : BQQQ Megaitimples 89.7 years.
The cinematographic cadence of images is traditionally 24 images / s. This means one image every 41.6 ms, but every 40 ms in certain countries. So, an image every hexadecimal third – 41 407/2048 ms – should be the good cinematographic cadence.
Our Earth day is accorded to the musical note Sol : 2^{24} / 43200 = 388.361 481 Hz. This means that the current standard pitch of 440 Hz is in excess of about 0.936 %. The modern La is defined (2^{24} / 43200) × 2^{1/ 6} 435.921 Hz, since the modern Sol of the G clef is defined one hundred hexadecimal Hertz exactly one : BQQ.qqq hiHz.
* This means: DWTQQ.qqqqq A.O.C. was on 2003, February 21, at 23 H 15 UTC.G.
Thermodynamic temperature, base unit: "hexaiKelvin"
Definition (since 1991) :

One hexaiKelvin equals exactly 273.16 K / 256 , i.e. 1. 067 0312 5 Kelvin.


However, in everyday life the hexadecimal scale named degree Kelvin  Celsius will be used.
Symbol : ° KC, (said : ° kaycee). BQQ hiK corresponds to Q.q° KC, exactly 273.16 Kelvin.
So: + BQ.q° KC corresponds to + 17. 0725° Celsius*, respectively + 62. 7305° Fahrenheit. Thus, water boils – depending highly on the atmosphere pressure – at less than + SQ° KC.
* actually about + 17. 0625° C, since the traditional freezing point and the modern triple point
differ by about 0.01 Kelvin. Besides : 16/15 × 256 = 273.066. So the mnemonic approximation :
W° Kelvin  Celsius equal 16 ° Celsius is excellent (with an error less than 0.035 %).
Other remark :
From Q° KC to BQ° KC (about 0° C to 17° C), the ambient air temperature is rather fresh.
From BQ° KC to PQ° KC (about 17° C to 3 4° C), the temperature is rather warm or even hot.
Above PQ° KelvinCelsius – that is about 3 4.135° Celsius – we are really in our canicular days.
However onetyeight degrees KayCee: B T° KC (about 25.6° C or 78.1° F) are very agreeable.
Length, base unit: "hexaimetre"
Definition (conceived in 1989, defined exactly one in 1990) :

One hexaimetre equals exactly 19. 109 257 m / 16 , i.e. 1. 194 328 562 5 metre.



The
chain value of 19.
109
257 m exactly one, was obtained by this adequate definition:

 The radius r_{0} is the major radius of our planet Earth (cf. World Geodetic System 1984), scilicet the length of 6,
378
137 metres.

The digital foot ruler comprises onety hexadecimal digits.
The measure foot – in ancient times – was already shared into sixteen digits
by great ancient civilisations like : Sumerians, Egyptians, Greeks and Romans.
Only during European MiddleAges, the foot is divided into twelve parts, cf. inches.

The hexadecimal digital foot ruler equals onety digits, respectively one hundred strokes : B milli  a  metre = BQ milli  e  metre = BQQ milli  i  metre. 
In other words : By definition, the hexadecimal digit is the half of the circumference of planet Earth – i.e. about 20 037.5 km – divided three times by 1024. The hexadecimal digit equals 19, 109 257 µm · 1024^{1} exactly one. This is a little more than 18.66 mm or just 72 / 98 English inch.
( Cf. : System of units, Magnitudes and Ranks )
This principal main system covers the even magnitudes and includes the magnitude zero. In analogy to the established decimal prefixes, the binary pico, micro, mega and tera, etc. are respectively 1024 power 4, 1024 power 2, 1024 power 2 and 1024 power 4 etc.
However, the magnitude zero, in contrast to the decimal SI, features its own prefix: hexa. Therefore the decimal names of unit can be reused without any risk of misunderstandings. Example : One decimal metre equals almost Q. ysztc kpzfp pzdbz b hexaimetre.
For the meaning of the concept of the ranks inside each hexadecimal magnitude, see the detailed explications below ^{ [3]}. Hexadecimal magnitudes are integer powers of 1024.
The subsystem of odd magnitudes
Next to the system of even magnitudes, a secondary deduced system of odd magnitudes exists. The relative importance of this – easy understanding – subsystem depends on the real use with the concerned units of measure. With the units of length, the system of odd magnitudes is not less important than the main system of the even magnitudes.

Six English feet equal six hexadecimal feet plus two digits. The new digital foot and the anglosaxon foot maintain the
exact ratio 49 to 48.
However, the current definition of the anglosaxon compromise foot, 1959 is contested.


 _{ }English
 foot_{ }:
 1764
× 0.1728 × f_{c} = 304. 8192 × f_{c }
 _{ }
 _{ } 304. 8 02 601 888 mm

 _{ }Digital
 foot_{ }:
 1728
× 0.1728 × f_{c} = 298. 5984 × f_{c }
 _{ }=
 _{ } 298. 5 82 140 625 mm

The correction factor f_{c} is : Ten digital chains divided by 640 idealistic digital feet :

(10 × 19,109 257) / (10 × 64 × 298 598.4) 0.999 945 548

Thus, the English foot – in its new scientific definition – is about 0. 000 854 % larger
than the inconsistent anglosaxon compromise foot of 1959, with its exact 304. 8 mm.

In conclusion:

The English yard is 49_{10} ( = VB_{H }) universal digits = 0. 914 4 07 805 664 0625 m.

The English mile is now 1. 373 796 875 cm longer, since it is
exactly B.zqx kim.


Nevertheless:


The
digital
foot
already
exists
: This is the Viennese foot
!

When in 1990 M. Florencetime defined the digital foot, he ignored the Viennese foot.
However, the cathedral of Vienna possesses two related, public standards of length :
The linen ell 896 mm and the drapery ell 776 mm, like it measured Franz Twaroch,
an Austrian engineer who demonstrated how the drapery ell is related to the linen ell.
This linen ell is obviously deduced from the raw Nippur cubit, via Greek measures.
The ratio of the Nippur cubit to the linen ell is 1000 : 1728,
since 518. 4 millimetres × 1. 728 = 895. 7952 millimetres.
Franz Twaroch clearly proofed: this Viennese linen ell is a threefeetmeasure, a yard.
So, the Viennese foot equals 895. 7952 mm ÷ 3 = 298. 5984 mm,
the
idealistic foot.
The concurrence of the new digital and the Viennese foot must be a coincidence.
Selfevidence :
All hypothetical speculations of a former deduction of the Viennese foot itself
by the circumference of the Earth are unfounded, would be pseudoscientific.
For more details, please see this special page.


Mass, base unit: "hexaagram"
Attention, an exception: The base unit is well the hexaagram, not the hexaigram.
Definition (since 1990) :

One hexaagram equals 10 ^{3} × 19. 109 257 ^{3} × 16 ^{6} 0. 415 921 631 423 095 kg.


* Or – that is the same – one hundredweight
The subsystem of odd magnitudes
These units are used for the evaluation of human body's weight.
 One arbitrary, discretionary example like another one:
 If any President of the French Republic incidentally weights 79.857 kg, so he weights three talents or thirty mines or just three hundred francs.


 Multiple (Magn. × Rank)
 Scientific Symbol
 Equivalence (in decimal gram)




 425. 903 751
 kg





 26. 618 984
 kg





 1. 663 687
 kg





 103 980. 407 856

 mg





 6 498. 775 491

 mg





 406. 173 468

 mg


Exactlylike in ancient times : One talent is the mass of water in a foot cube.
If the mine is much appreciated since ancient times, the shekel is devalued a little.
In the sexagesimal Babylonian system of weights the mine is 1/ 60, like the shekel
(sicilicus) is 1/ 3600 of the talent. Now, the ratios are 1 : 16 and 1 : 4096 respectively.
One mark has ever been halfapound. The franc is now halfamark or two escudos.


The weights of an analogical balance are called stones
The eight additional stones
An analogical balance needs a completed set of weights ; called : stones of the balance . Some ponderous stones are simply named, for example, halfatalent or the doublemine. From the pistole to the hexadecimal grain, the necessary weights have their own names:




 t
 hag

 208

 g
 one mark





The named stones in several languages :

So, one of the weights, the mass of 104 g, in German language, is the Frankenstein ;)


Remark: Binary analogical balances need two exemplars of the lightest weight. Example: A balance with a capacity weight of one mine may have these twelve stones: Pistole, pound, mark; fourfold, double, single and half of both the florin and the drachm. However, the pennyweight stone of ≈812.347 mg is present twice to reach the mine.
To say, that the florin has a mass of two mean walnuts is a very good approximation. On an average a European walnut weights about 13 grams*. 32 walnuts in a pound. * Depending of course by its big and dryness, but clearly confirmed by our multiples samples in 2006. 
Amount of substance, base unit: "hexaimole"
Definition (since 2005, january 20) :

One hexaimole equals 10 ^{6} × 19. 109 257 ^{3} × 16 ^{8} 1. 624 693 872 746 5 mol.


Like the decimal mole refers to the decimal gram, the hexadecimal mole refers to the hexaigram, the drachm. So, for values of the multiples and submultiples, please see above.
Further explications later. Also see: the decimal base unit: Mole.
Electric current, base unit: "hexaiAmpère"
Definition (since 2005, january 20) :

One hexaiAmpère equals 10 ^{10} × 19. 109 257 ^{4} × 16 ^{8} × 675 ^{2} 0. 681 408 895 A.


Further explications later. Also see: the decimal base unit: Ampère.
Luminous intensity, base unit: "hexaicandela"
Definition (since 2005, january 20) :

One hexaicandela equals 683 × 10 ^{3} × 19. 109 257 ^{5} × 16 ^{3} × 675 ^{3} 1. 382 cd.


Further explications later. Also see: the decimal base unit: Candela.
Some deduced units
From these seven base units all the other hexadecimal units can be deduced without any problem.
Regularly the new main unit is the hexaiunit. This even in the cases when the hexaagram enters in the formula. The only exception is the volume unit. The hexaalitre is the hexadecimal pint. One cubic palm of pure water has the mass of one hexaagram, one pound.
All the other unit names of the decimal SI – like Volt, Watt, and Newton etc. – are all overtaken.
Only one new unit name is added: the speed unit, the hexaiEinstein.
The
SMH
velocity unit: "hexaiEinstein"
Note: The superscript signs plus and minus after the values mean "a little more than" or "a little less than".

The SMH area unit: "square hexaimetre"
Note: The superscript signs plus and minus after the values mean "a little more than" or "a little less than".

The area of Mongolia is nearly one square megane : 1, 564 116 km² Q.wwz Mim^{P}.

 Halfahexadecimalacre is a yoke. Halfayoke is a hexadecimal rood, also called vergée. The quarter of one clima is the hexadecimal are. This is about 91.3% of one decimal are. One square rod, one square pole and one square perch, the preferred term, are synonyms.

The SMH volume unit: "hexaalitre"
In the hexadecimal metric system (SMH), the main unit for the volumes is the hexaalitre, the pint : The hexaalitre, with the symbol : hal, is the volume of one microametre cube. This is the palm cube.

 The largest named volume unit is the hexadecimal tun, i. e. one hexaimeter cube or one megailitre. The microulitre – the minim, the microometre cube, the line cube – is an onety millionth of the tun.

The main volumes
4096
BQQQ hal
one tun
17 hL

2048
TQQ hal
–
852 L

1024
FQQ hal
one pipe
426 L

512
PQQ hal
–
213 L

256
BQQ hal
one barrel
106.5 L

128
TQ hal
one hemina
53.2 L

64
FQ hal
one amphora
26.6 L

32
PQ hal
one urna
13.3 L

16
BQ hal
one velte
6.65 L

8
T hal
one gallon
3.33 L

4
F hal
one quart
1664 mL

2
P hal
one pot
832 mL

1
B hal
one pint
416 mL

1 / 2
t hal
one chopin
208 mL

1 / 4
f hal
one gill
104 mL

1 / 8
p hal
–
52 mL

1 / 16
b hal
one roquille
26 mL

1 / 32
qt hal
–
13 mL

1 / 64
qf hal
one shrek
6.5 mL

1 / 128
qp hal
–
3.25 mL

1 / 256
qb hal
one muid
1.625 mL

1 / 512
qqt hal
–
0.8 mL

1 / 1024
qqf hal
–
0.4 mL

1 / 2048
qqp hal
–
0.2 mL

1 / 4096
qqb hal
one minim
0.1 mL

The hexailitre is called muid, a French term deriving etymologically from the latin
modius, "the measure". However, the main volume measure is well the hexaalitre.

The "picot" serie
Picot

 Shrek

 hex.

 dec.

16
 =
 576
 =


 5 L

8
 =
 384
 =


 2.5 L

4
 =
 192
 =


 1.25 L

2
 =
 96
 =


 624 mL

1
 =
 48
 =


 312 mL

1 / 2
 =
 24
 =


 156 mL

1 / 4
 =
 12
 =



78 mL

1 / 8
 =
 6
 =


 39 mL

1 / 16
 =
 3
 =


 19½ mL

 The picot is an auxiliary unit between the pint and the chopin. Necessarily, it must be noted as twelve roquilles : Q.k hal. Beverages, for example, may also be sold in the "picot serie".
 Sixteen picots equal twelve pints, i.e. about 4.991 litres.


1 / 64 picot: One standard
 teaspoon
 contains
 three
 muids:
 V hil
 ≈
 4 ^{7}⁄_{8} mL.


3 / 64 picot: One standard
 tablespoon
 contains
 nine
 muids:
 J hil
 ≈
 14 ^{5}⁄_{8} mL.

Evidently : As long as oil is sold in capitalistic barrel petroleum (158.987 L), it will be squandered !
The universal barrel petroleum (159.714 L equal six amphoras ) contains 726.6 (precious !) mL more .


The SMH frequency unit: "hexaiHertz"
Note: Plus and minus after the values means respectively "a little more than" and "a little less than".


The adapted unit for the frequency of microprocessors is well the megaaHertz. The 80386chip reached Q.b MaHz, then Pentium II more than one megaaHertz. At present (2006) microprocessors exceed J MaHz, but not yet attain BQ MaHz.

If in theory a subsystem of odd magnitudes in frequencies also exists, in practice however, it is neither necessary nor useful to employ it.

Frequency of typical visible light
Visible light from red to violet
 Hexadecimal
Frequency
 Decimal
Frequency
 Decimal
length of wave

Transition :
Nearest infrared
to visible red.
 XQ TiHz
 373.6 THz
 802.4 nm

WQ TiHz
 400.3 THz
 748.9 nm

Typical visible light is situated between BQQ to BKQ TiHz ca. 700 to 400 nm.
 BQQ TiHz
 427.0 THz
 702.1 nm
  BKQ TiHz
 747.3 THz
 401.2 nm

Transition :
Visible violet to
nearest ultraviolet.
 BXQ TiHz
 800.6 THz
 387.4 nm

PQQ TiHz
 854.0 THz
 351.0 nm


The frequency of the musical note Sol at Gclef is defined BQQ hexaiHertz.


The old standard pitch, socalled A 440 didn't have any rational base. After long discords, it was defined completly arbitary.
In BISMH standard, the musical note G 4 of the G clef is defined one hundred hexaiHertz as a binary multiple of Earthday.
Thus, the new standard pitch La is now : ( 2^{24} / 43200 ) × 2^{1/ 6} 435.921 decimal Hertz, but at onety degrees KelvinCelsius .



Three new SMH units : added in February 2007.
The information units:
1. Name of bitlengths
2. Information quantity: hexaibyte vs. hexaifit
3. Symbol rate: hexaiBaud

1. Name of bitlengths ( in computing registers, information busses etc. ) 
Bits

English
name

Universal
name
 hexaiByte
 Encoding possibilities

 bit
 bit
 .p hiB


 crumb
 pit
 .f hiB


 nibble
 fit
 .t hiB


 byte
 tit
 B hiB


 word
 bet
 P hiB


 doubleword
 pet
 F hiB


 " sissa "
 fet
 T hiB


 " doublesissa "
 tet
 BQ hiB


 " quadrisissa "
 bat
 PQ hiB


txt  information is encoded on « a tit », i.e. one byte, since this defines 256 characters.
The 65 536 Unicodecharacters are encoded on « a bet ». The CPUbus is now a sissa.
One filled SHOL double sissa is : W,WWWW,WWWW,WWWWW : W,WWWW,WWWW,WWWWW.

2. Information quantity , with the base unit : hexaibyte [ hiB ] 
The hexadecimal multiples of the base unit hexaibyte

Expressed in the mass storage unit teraibytes 
Decimal Equivalence




= 1.000
 B





= 1.024
 kB





= 1.049
 MB





= 1.074
 GB





= 1.100

TB





= 1.126
 PB





= 1.153
 EB





= 1.181
 ZB





= 1.209
 YB


The multiple of base unit « teraibyte » was the adapted unit for mass storage media.


Teraibyte [ TiB ] versus teraifit [ Tifit ] .
The TiBunit, just defined, already depreciated. – Why ?
The therefor answer in four sentences :
^{ }•^{ } 2^{ 1 }: The binary system is in.
^{ }•^{ } 2^{ 3 }: The vinary system is vile.
^{ }•^{ } 2^{ 4 }: The finary system is fine.
^{ }•^{ } 2^{ 8 }: The tinary system is out !
The more explicit answer is :
When during the second half of last century BigBlue  Wintel established their standards
at first, in 5½floppy times, letters were really encoded on a byte. Digital photos, music,
films etc. didn't exist. So, it seemed justified to count information in byte, kilobyte, etc.
An IBMtinary system with 256 digits exists – except as txt – it is however unhuman !
Which human being could learn it by heart ? Bytedigits are cryptic, therefore unhelpful.
Thus BISMH depreciates the byteunit in profit of the unit : hexaifit. That's the nibble.
The conversion: teraibyte – teraifit is as easy as a multiplication or a division per two.

B TiB = P Tifit (say: teraifit), and : B Tifit = t TiB.


Resolution: Since 2007, February 20, the existing hexadecimal unit hexaiByte
is officially depreciated by BISMH, replaced by the commended unit : hexaifit .

3. The symbol rate unit : hexaibaud, with the unit symbol [ hiBd ] .
Definition : One hexaibaud is one fit – i.e. four bits – per hexaitimple.
This means that B hiBd == 4096 × 675^{ 1} == 6.06814 bps.


one thousand

 mega
 ibaud


26 062.5
 Mbps




1 628.9
 Mbps




101.8
 Mbps




6.4
 Mbps



one onetieth

 mega
 ibaud


0.40
 Mbps



one hundredth

 mega
 ibaud


0.025
 Mbps



one thousandth

 mega
 ibaud


0.0016
 Mbps


The symbol rate unit baud, since 1927 means transmitted « symbols per second ».
One hexaibaud means transmitted « symbols per hexadecimal second », per hit.
But it is useful to underline, that the meant symbol is the hexadecimal digit.
Traditional 56kmodem transmission is J kiBd, two hundredths megaibaud.
ADSL  transmissions are generally still inside several onetieths megaibaud.
Net working at 100 Mbps, allows transmissions close to onety megaibaud.
The Gigabit Network corresponds to more than ninetythirteen megaibaud.




In four examples : Conversion of all the other decimal SI units .
The SMH units of force, pressure, energy and power
Also see : SI derived units.
Some mathematical units
The hexadecimal percentage

Example: 10.0 % = BJ.j %
.

Ten decimal percents are onetynine percents three fifth ;
since Q.j is nine fifteenth. This can be
shortened : three fifth.


Other example : BT.q % = 9.375 %.
Onetyeight percents
are nine
decimal percents, three eighths.


The hexadecimal angle units
The hexadecimal arc degree

The circle comprises twonety arc degrees :

360° 00' 00".0 = PQ°QQ'qqq




 Hexadecimal degrees and minutes

 Notation
 Equivalence sexagesimal



=
 180
 °
 .
 00000




=
 11
 °
 .
 25000




=
 42
 '
 .
 18750




=
 2
 '
 .
 63672




=
 9
 '
 .
 88770




=
 0
 "
 .
 61798


 one thousandth arc minute



=
 0
 "
 .
 03862




Example: 60° 00' 00".0 = Z°ZZ'zzz

Five hexadecimal arc degrees and fiftyfive minutes a third.

One thousandth hexadecimal arc minute at the equator corresponds
per
definition
exactly
to
one
hexaimetre.

A practical application of the hexadecimal arc degrees can now be studied at http://www.hexadecimal.free.fr.



The hexadecimal radian
Certainly, the hexadecimal radian also exists.


One radian :
 B rad
 = BQ° / π

=
 Z°
 BD'
 kkp



Five hexadecimal arc degrees, onetyseven minutes and a little less than twelve hundred twelftytwo thousandth.

Remark that the hexadecimal value of π is V.pfvws scttt s.


Additional explications
Digits and letters
All the odd digits are represented by voiced consonants,
digit zero and the
even digits by voiceless consonants.
 The omniliteral system makes the following equation:

0x1  0x2  0x3  0x4 
0x5  0x6  0x7  0x8 
0x9  0xA  0xB  0xC 
0xD  0xE  0xF  0x0 
 = 

Beside, the five vowels of the western alphabet give the ranks inside
magnitudes (see just below). However, vowels are never used as digits. Item the following three special, single letters :
The nasal consonant N, the lateral L, also R,
latterone is normally an alveolar or uvular trill.

In particular uses H can mean sixteen, but it is never called onety. Be careful, because there we are leaving the positional arithmetic.
H is the base as one digit and M expresses the superbase million.
 Some important fractions, easy to retain : 















 1/
 2
 =
 Q.t
 1/
 3
 =
 Q.z
 1/
 5
 =
 Q.v


 1/
 4
 =
 Q.f
 1/
 6
 =
 Q.pc
 1/
 10
 =
 Q.bj


 1/
 8
 =
 Q.p
 1/
 12
 =
 Q.bz
 1/
 20
 =
 Q.qk




An other important hexadecimal fraction is : 1/ 15 = Q.b


1024^{2} equals 16^{5}. – Thus the SMH always groups five digits: millions, billions etc. respectively millionth, billionth etc. The place of each one of these hexadecimal digits gives the hexadecimal rank inside the magnitude. The role played by these five ranks is comparable to the four decimal prefixes: centi, deci, deca and hecto. Latter ones are never used in the hexadecimal system.
So, the hierarchy of the five vowels signifying the five ranks is established by linguistic criterions (cf. the trapezium of vowels). So their meanings are "i" = 1x, "e" = 16x, "a" = 256x, "o" = 4096x and finally "u" = 65536 times the magnitude of the concerned unit.
By comparing to the decimal SI, the significant difference of the conception of rank in magnitude: These multiples of magnitude, the ranks, are used in any magnitude. Example: megaaunit. However – in practice – each scientific application field will choice their adequate main multiples and submultiples by preferring generally the basic "i " and the central "aunits".
Because these ranks are used in the very same manner as well as for the positive magnitudes, just as in the same way with the negative magnitudes, the microuunit, for example, signifies: One microuunit is rightly the binary millionth of the basic unit multiplied by binary 64k.
Q
 B
 P
 V
 F
 Z
 S
 D
 T
 J
 C
 G
 K

[ʔ]
 [b]
 [p]
 [v]
 [f]
 [z]
 [s]
 [d]
 [t]
 [ʒ]
 [ʃ]
 [g]
 [k]

Y
 X
 W
 H
 I
 E
 A
 O
 U
 M
 N
 L
 R

[j]
 [x]
 [w]
 [h]
 [i]
 [e]
 [a]
 [o]
 [u]
 [m]
 [n]
 [l]
 [r]

 Remark : The phonetical main meaning of the four consonants
formatted in red font colour differs from IPA.

 So, the first entry in a modern English dictionary might be the word "quibbling", the last one "ruralize". – Who knows all the words from quibbling to ruralize ? 

 The onetyten letters of the hexadecimal alphabet:


"Q" is the first letter, defined zero, with the modern phonetical main meaning glottal stop,
then, the letters from "B" to "K", the main consonants, alternating voiced and voiceless.

 Thirteen letters, id est the first half of the alphabet.

 The first approximant "Y" is followed by "X", i.e. [ç][x][χ], and the other approximant "W".

 So far: The onety hexadecimal omniliteral digits.

 Then the "H" and the five vowels: "I", "E", "A", "O", "U" :
[i]
– [e][ɛ]
– [a][ɑ]
– [ɔ][o]
– [u];
followed by two nasal consonants "M" and "N", finally the lateral "L" and the trill "R" [r][ʀ].


Even if now a modern, universal main meaning of each letter is well defined,
nevertheless, all precipitant orthography reforms are categorically to reject.



The hexadecimal number names
The names of the hexadecimal "oneties" in several languages


Oneties
 Universal names [ IPA ]
 English names
 French names (in France)
 French names Francophonie
 German names
 Decimal value

(QQ)

 (zero oneties)
 (zéro unantaine)
 <=
 (Null Einziger)
 0

BQ

 onety
 unant
 <=
 einzig
 16

PQ

 twonety
 vingt
 <=
 zwanzig
 32

VQ

 thirty
 trente
 <=
 dreißig
 48

FQ

 forty
 quarante
 <=
 vierzig
 64

ZQ

 fifty
 cinquante
 <=
 fünfzig
 80

SQ

 sixty
 soixante
 <=
 sechzig
 96

DQ

 seventy
 soixanteunant
 septante
 siebzig
 112

TQ

 eighty
 quatrevingt
 octante
 achtzig
 128

JQ

 ninety
 quatremivingt
 nonante
 neunzig
 144

CQ

 tenty
 cinqvingt
 dixante
 zehnzig
 160

GQ

 eleventy
 cinqmivingt
 onzeante
 elfzig
 176

KQ

 twelfty
 sixvingt
 douzeante
 zwölfzig
 192

YQ

 thirteenty
 sixmivingt
 treizeante
 dreizehnzig
 208

XQ

 fourteenty
 septvingt
 quatorzeante
 vierzehnzig
 224

WQ

 fifteenty
 septmivingt
 quinzeante
 fünfzehnzig
 240

(HQ) BQQ

 (sixteenty) one hundred
 (huitvingt) cent
 (seizeante) <=
 (sechzehnzig) einhundert
 256

Example :
2, 000 000 = 0x 1, E8480 = B, XTFTQ
Two million decimal units in hexadecimal numbering equal :
one million fourteentyeight thousand four hundred eighty units.
Internationally, this number can also be read : Bi mi, xu to fa te (qi).
Note : The universal number names recall Āryabhaṭa, the creator of the Sanskrit numerals.
Remarks:
Many francophone countries or provinces – while using "septante" and "nonante" instead of the 'hexagonal' terms "soixantedix" and "quatrevingtdix" – however
employ "quatrevingt" for "octante" or (rare) "huitante". They can, of course, continue to use quatrevingt, even for the hexadecimal number (= 128, Base 10).
The hexadecimal number "soixanteetonze" does not exist. This is artless "soixanteonze". One says "unantetun", "unantdeux", "unanttrois" etc.
But "cinqvingtun" like "quatrevingtun". The hexadecimal numbers such as "sixmivingtquinze" endue six and a half times twonety plus fifteen, i.e.
"six(etde)mi(fois)vingt(plus)quinze" (= 223). For not francophones, by the way, dixante is rightly pronounced [di:zãtə] like some other french xs.
German hexadecimal onetynumbers are invariably enunciated in the modern, logical order: First the onties, then the ones.
Example : the decimal number 336 (= BZQ) in german: "drei hundert sechsunddreißig " ; but the hexadecimal number VVS (= 822) is always said
"drei hundert dreißigsechs". 17 is "einzigeins", 18 "einzigzwei " etc. The german term "der Einzigste" ( formerly – at the most – very incorrect for
"der Einzige", the only one, the unique one) now exists : That is this one who arrives after the fifteenth.
In all languages the oneties and the ones are joined with hyphens. The other numberparts are unhyphenated.
English example: Three hundred tenty fourteen : VCX equal 942_{10}.
Universal number names: It is easy to understand that 16 × 5 = 80 different syllables suffice to enunciate all natural numbers including zero, as far as 1, 048 575.
Therefor see this detailed page. The negative numbers are expressed with the prefix n. Exemple : " ndabi " = DQB = 1793. With ten additional zillion names the
interval ± 2 × 16 ^5 × 1, 048 576 ^5  1 is covered by simple number names, i.e. from minus 2.66 × 10 ^36 to plus 2.66 × 10 ^36 and in the fractions : ± 0.79 × 10 ^30.
However, an exponentiation expression, like million to the power of seventeen, precisely : mirbebi, extends the field of pronounceable numbers potentially to infinity.
Actually, with the exponentiation expression: murhu, only up to (^{ }(16^{ 5 })^{ 5 })^{ 1, 048 576}. ^{ }So, in a small fontsize: Digits for about 80 km or 50 miles. Serious scientists generally settle for using up to 1, 048 576^{ 16}.
The hexadecimal point, the millions separator, etc.
The hexadecimal point is an obligation due to the good standard. It is the matter of a point – not a comma – worldwide.
Some meddlesome jackanapes could argue the hexadecimal point is not necessary, because upper case and lower case letters already distinguish the units and the hexadecimal fractions.
They receive this answer: In the opposite, lower cases are not obligatory, however normal. The hexadecimal point is essential by following hexadecimal fractions. Just a question of good style.
The millions separator (groups of five digits) is also obligatory. The comma is commended, the nonbreaking space is admitted.
The millionths separator (groups of five digits in the fractional part) is not obligatory, but recommended. The comma is commended, nonbreaking space admitted.
Excursus to the old, outdated and now ruled long scale versus short scale controversy:
The great colleague Nicolas Chuquet once made, now makes and will continue to make authority on this topic, worldwide and forevermore.
This Chuquet billion is the universal billion, which is engaging for everybody.
His own example number was 745324' 804300' 700023' 654321 to read as: " 745324 tryllions 804300 byllions 700023 millions 654321 ".
Later on, the original six digit groups were split again, into two groups of three digits, with the argument of better legibility.
Now, an ignorant and nameless minority imagined – in the course of this passage from the older sixdigitgroups to the modern threedigitgroups,
by itself a good idea – to change the good old meaning of the great numbers. Never !
That was not a sufficient reason, to break with the ingenious and really progressive logarithmic definition of the million names.
This minority was influent in Italy and particularly in France till the beginning of the 20th century. Thus in older French encyclopaedia the reformed short scale
was always mentioned, presented as standard. There, the original long scale is often hushed up or – if this is not the case – noted as "now obsolete meaning".
(So, we can see: A "said dead" lives longer ! ) Then – even in France – sanity won, and France – since there are no hopeless cases – reconverted to Chuquet.
Now, neither in France nor anywhere else at continental Europe like virtually everywhere worldwide: None will ever disavow the only consistent Chuquet billion.
The current preposterous U.S. billionuse is – for say it in short – nothing other than a puerile daftness of a former Crown Colony (cf. the case of Brazil)
introduced in error by incompetent French pseudosavants, which were certainly neither mathematicians nor philologists.
Then, the U.S.A. persevered "to make it different from their old repudiated mother". But an error remains an error. It can't be helped.
If the grownup, prospered exson now try to impose his kept boorishness to his exma (here guised as this, on the topo, pseudomodernist Wilson) :
This doesn't change absolutely nothing on the fact that the short scale is not consistent, now happily unmasked by the hexadecimal billion.
The best way to write today the Chuquet example number should be:
745 324, 804 300, 700 023, 654 321 to read as: 745 324 trillion, 804 300 billion, 700 023 million, 654 321 units. Trilliard, billiard and milliard are also admitted.
Surely, the decimal comma practised in France, Romania, the Netherlands, Germany, Switzerland, Italy a.s.o.m. may be antiquated and abolishing worthy.
Just like this extravagant German allthousandpoint could probably be a folly...
But since the BISMH is not concerned by decimal notation rules, it forbears itself to stipulate any mandatory regulation on this topic.
One should never transgress his responsibilities ! Just this doesn't apply to this objectively false ten power nine pseudo billion :
Neither the United States of America, nor Brazil will ever have the possibility to delegate scientists with voting rights to the International Bureau without a previous and effective official renouncement to this
nonsense short scale billion. Certainly, the future "Hexadecimal Metre Convention" will have a very explicit article on this topic.
After all it's easy to replace in all official uses the word billion either by thousand million or by milliard, the error is corrected.
During the 20th century, notably two nations, Italy and France, clearly proofed by switching back : It's possible. No problem.
Merely, some tooproud USDollar billionaires, one morning will awake as blemished and ridiculous milliardaires. C'est la vie.
User royalties?
Yes. All the governments of all the states wishing to adhere to the future "Hexadecimal Metre Convention" have to pay both : A substantial, onetime sum (cf. Sissa who once demanded an entire 64bitbus filled with grains of wheat. This equals onety trillion grains of wheat minus one.) in the very personal pocket of the initiator of the SMH for the accomplished labor. Then – clearly separated with an objective controlling – an annual sum for the good working conditions of the International Bureau for the hexadecimal metric system (BISMH).
No. None has to pay, neither private persons nor incorporated enterprises. All use is free and gratis. – No proprietary standards !
Also see
The new civil, historical and astronomical chronology and its Civil Calendar
The latter page is edited under responsability of the " Virtual observatory of Florence situated in Paris (OvFsP) ".
This chronology is in plenary concordance with the tropical year by its only correct 128yearexceptionalcommonyearrule. *
This chronology defines the civil year zero for the 365 first days of 1792, worldwide, the year of the beginning of history of Modern Times.
• Universal event of the year 1792 : the effective abolishing of Ancient Regime by the bloody, revolutionary, French bourgoisie on AD 17920921.
• The local event of the year 1792 : the foundation of the UScapital Washington by a wellknown, poor ' workmenassociation ' on AD 17921013.
Likewise, for US citizens, the Common Era (CE) may denote "since United States Mint" on AD 17920402. This chronology is civil one, since it is not a religious Era. All citizens live in 3rd century, including e.g. the Windsors. Everybody is born in this chronology.
Additionally, all Christians – but only by their baptism – enter in the Christian Era, a religious chronicle, but without a year zero, surely not a real chronology.
The astronomical "Cassini Era" is a chronology. However with its defined leap year zero, astronomically false for about 6000 years, additional uncontinious from 15821004 to 15821015.
* First proposed in late 19th c. by the German astronomer von Mädler, director of the Dorpat (Tartu) Observatory in Estonia. Stange to say, he proposed this rule for 1900 (= 14 × 128 +108).
References
Official precis of the decimal SI in English language. BIPM: SIbrochure.pdf. French compendium of the hexadecimal base units. BISMH: Les unités du SMH.doc.
Many other references, either at the end of the concerned page, example, references for the ancient measures at the Viennese yard page, or within the text by
a hyperlink, example : the reference for the formula of the tropical year, Bretagnon, 2000 at the page Civil Calendar by this link to Observatory ParisMeudon.
External links
Intuitor.com's Hexclock 
http://www.intuitor.com promotes – since 1997 – an exactly half slowgoing hexadecimal time format. 
Dr Beat.li's Time Page 
http://www.drbeat.li displays several time formats in JavaScript : SwatchTime, Hexclock, Florencetime...

Hexadecimal Earthgrid

http://www.hexadecimal.free.fr shows the hexadecimal Earthgrid conform to M. Florencetime's proposal. 
