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INTERNAT.HLP
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1994-11-20
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^hInternational information^n
This part of the manual will have all kind of different international
information. We will try to gather as much information as possible and
put in here, but please if you have any suggestions for additional
information you think could be useful for a lot of people, please contact
a registration site.
^hUnit of measurement^n
metre (m) for length
kilogram (kg) for weight
second (s) for time
ampere (A) for current intensity
kelvin (K) for absolute temperature (absolute zero -273.15 Celsius)
candela (cd) units of luminous intensity
mol (mol) for quantity of material
The units are defined with the biggest possible accuracy compared to
imperishable sizes. For example the metre is defined as the length
of the way the light runs in af 1/299792458 second. A second is defined
as 919263631770 times the characteristic atomic time for caesium-133
(cesium).
To make the daily use more easy the following measurement are used:
celsius (C) unit of temperature
coulomb (C ) unit of quantity electricity
farad (F ) unit of electrical capacity
henry (H) unit of electrical inductance
hertz (Hz) unit of frequency
joule (J ) unit of work or energy
liter (l) unit of cubic content
lumen (lm) unit of luminous flux
lux (lx) unit of illumination
newton (N ) unit of force
ohm (O_) unit of electrical resistance
tesla (T) unit of magnetic inductance
volt (V ) unit of electric potential
watt (W ) unit of electric power
weber (W) unit of magnetic flux
^hNumeric sizes^n
exa (E) 10 18 1 000 000 000 000 000 000 times
peta (P) 10 15 1 000 000 000 000 000 times
tera (T) 10 12 1 000 000 000 000 times
giga (G) 10 9 1 000 000 000 times
mega (M) 10 6 1 000 000 times
kilo (k) 10 3 1 000 times
hecto (h) 10 2 100 times
deka (da) 10 1 10 times
deci (d) 10 -1 0.1 times
centi (c) 10 -2 0.01 times
milli (m) 10 -3 0.001 times
micro (y_) 10 -6 0.000 001 times
nano (n) 10 -9 0.000 000 001 times
pico (p) 10 -12 0.000 000 000 001 times
femto (f) 10 -15 0.000 000 000 000 001 times
atto (a) 10 -18 0.000 000 000 000 000 001 times
^hLinear measure^n
The Metric System
1 millimetre (mm) = 0.001 m
1 centimetre (cm) = 0.01 m
1 decimetre (dm) = 0.1 m
1 dekametre (dam) = 10 m
1 hectometre (dam) = 100 m
1 kilometre (km) = 1000 m
Old English and American systems
1 inch = 2.54 cm
1 foot (12 inches) = 30.48 cm
1 yard (3 feet) = 91.44 cm
1 fathom (2 yeards) = 1.83 m
1 (statute) mile (1760 yards) = 1.609 km
Old Danish measures (The metric was laid down by law in 1977)
1 tomme = 2.615 cm
1 fod (12 tommer) = 31.385 cm
1 alen (2 fod) = 62.771 cm
1 favn (3 alen) = 1.883 m
1 mil (4000 favne) = 7.532 km
Old Swedish measures
1 tum = 2.47 cm
1 tvärhand = 8-10 cm
1 fot = 29.7 cm
1 aln = 59.4 cm
1 gutealn = 64 cm
1 famn = 1.78 m
1 kyndelsmil = 1 600 m
1 fjärdingsväg = 2 672 m
1 rast = 5 016 m
1 lantmil = 10 689 m
Other
1 geographical mile = 7.532.48 m
1 nautical mile = 1.852 m
1 Swedish mile = 10 km
1 Verst (Russian) = 1066.78 m
^hSquare measure^n
The Metric System
1 square meter m2 = 10000 cm2
1 are (a) = 100 m2
1 hectare (ha) = 10000 m2
1 square kilometre (km2) = 100 ha
Old English and American systems
1 square inch = 6.8406 cm2
1 square foot = 0.0929 m2
1 square yard = 0.8361 m2
1 acre (4840 square yards) = 0.4047 ha
Old Danish measures
1 kvadrat-alen = 0.3940 m2
1 t¢nde land (14000 alen) = 0.5516 ha
1 kvadratmil = 56.7383 km2 (10285 5/7 t¢nder land)
^hCubic measure^n
The Metric System
1 litre (l) = 1000 cm3
1 cubic metre (m3) = 1000 l
1 hectolitre = 100 l
English and American system
1 pint
UK: = 0.568 l
US: = 0.473 l
1 gallon (4 quarts=8 pints)
UK: = 4.546 l
US: = 3.785 l
1 bushel
UK: = 36.37 l
US: = 35.24 l
1 cubic foot = 0.0283 m3
1 cubic yard = 0.7646 m3
Old Danish measures
1 pægl = 0.242 l
1 pot (4 pægle) = 0.966 l
1 kubikfod = 0.0309 m3
1 t¢nde = 1.3912 hl
Old Swedish measures
1 famn ved = 3.14 m3
1 stor famn ved = 4.22 m3
1 parm hö = 7.15 m3
1 kvadratfot = 882 cm2
1 tunnland = 4936 m2
1 kanna = 2.6 l
1 kappe = 4.6 l
1 fjärding = 18.32 l
1 skäppa = 36.6 l
1 spann = 73.3 l
1 tunna = 146.6 l
1 kvarter = 32.7 cl
1 Stop = 1.3 l
1 Fjärding = 15.6 l
1 Ankare = 39.25 l
1 tunna = 125.6 l
^hWeight^n
The Metric System
1 milligram (mg) = 0.001 g
1 centigram (cg) = 0.01 g
1 decigram (dg) = 0.1 g
1 dekagram (dag) = 10 g
1 hectogram (hg) = 100 g
1 kilogram (kg) = 1000 g
English and American systems
1 grain (gr) = 0.0648 g
1 ounce (480 grains) (oz) = 28.350 g
1 pound (16 ounces) (lb) = 0.4536 kg
1 hundredweight
UK: 112 pounds (cwt) = 50.8 kg
US: 100 pounds (cwt) = 45.36 kg
1 long ton
UK: 2240 pounds = 1016 kg
1 short ton
US: 2000 pounds = 907.18 kg
1 stone (14 lbs) = 6.35 kg
Old Danish measures
1 kvint = 5.0 kg
1 lod = 15.625 g
1 pund (100 kvint)(32 lodder) = 500 g
1 lispund (16 pund) = 8 kg
1 centner (100 pund) = 50 kg
Old Swedish measures
1 korn = 42.5 mg
1 kvinting = 3.32 g
1 ort = 4.25 g
1 lod = 13.28 g
1 skålpund = 425 g
1 skeppspund = 170 kg
1 bast sill = 24 st sillar (sill is a fish)
1 val sill = 80 st sillar
1 bunt sill = 100 st sillar
^hTemperature^n
Fahrenheit = Celcius * 9 / 5 + 32
Celsius = (Fahrenheit - 32) * 5 / 9
^hDecimal/Hexadecimal/Binary numeric systems^n
Sometimes it is hard to know how you calculate from one system to another.
Small number are easy, but large numbers are much harder. It is important
to understand how these numbers work if you are doing a little programming
yourself. If you don't want to be able of doing things manually, buy a
calculator that can convert for you.
Decimal-10 Hexadecimal $-16 Binary-2
──────────────────────────────────────────────
0 0 0
1 1 1
2 2 10
3 3 11
4 4 100
5 5 101
6 6 110
7 7 111
8 8 1000
9 9 1001
10 A 1010
11 B 1011
12 C 1100
13 D 1101
14 E 1110
15 F 1111
16 10 10000
100 64 1100100
255 FF 1111111
256 100 10000000
1024 400 10000000000
4096 1000 1000000000000
65535 FFFF 1111111111111111
65536 10000 10000000000000000
──────────────────────────────────────────────
To convert from one system to another there are a few tricks you
can use.
^hHexadecimal (hex) -> Binary^n
Example: $12FA -> ? __12FA_ Hex
/ / | \
/ | | \
0001 0010 1111 1010 Binary
Result = 0001001011111010 (You can loose the leading zeroes)
Take each hex number and convert to a 4 bit binary number. Then put all
together in one long row, strip leading zeroes. That's it, pretty simple.
^hBinary -> Hexadecimal (hex)^n
Example: 1010011110 -> ?
Divide into blocks of 4 from behind 1. 1110
2. 1001 1110
3. 10 1001 1110
Add leading zeroes 4. 0010 1001 1110
Convert each block to hex. 5. 2 8+1 8+4+2
Result 6. $29E
^hDecimal -> Hexadecimal^n
No easy way, so we 'just' divide.
Example: 48 -> ?
47 / 16 = 2 <- 1st number ----- \
2x16 = 32 |
Remainder = 47-32 = 15 |
15 / 1 = 15 = F <- 2nd number |
|
Result = $2F |
| 16^0 1
Example: 32891 -> ? | 16^1 16
\ ---> 16^2 256
32891 / 4096 = 8 <- 1st number 16^3 4096
8x4096 = 32768 16^4 65536
Remainder = 32891-32768 = 123 16^5 1048576
123 / 256 = 0 <- 2nd number / -> 16^6 16777216
0x256 = 0 | .
Remainder = 123-0 = 123 ----- / .
123 / 16 = 7 <- 3rd number
7x16 = 112
Remainder = 123-112 = 11 ^
11 / 1 = 11 = B <- 4th number |
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Result = $807B |
|
^hHexadecimal -> Decimal^n
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This way is much faster than the other |
way around. |
|
Example: $1A4F |
|||1 |
||16 ___________________________________________ /
|256
4096
(A) (F)
Calculation: 1 x 4096 + 10 x 256 + 4 x 16 + 15 x 1 = 6735
^hDecimal -> Binary^n
No easy way, so we 'just' divide.
Example: 147 -> ?
147 / 128 = 1 <- 1st number 2^0 1
1x128 = 128 2^1 2
Remainder = 147-128 = 19 2^2 4
19 / 64 = 0 <- 2nd number 2^3 8
19 / 32 = 0 <- 3rd number ---------------> 2^4 16
19 / 16 = 1 <- 4th number 2^5 32
1x16 = 16 2^6 64
Remainder = 19-16 = 3 2^7 128
3 / 8 = 0 <- 5th number 2^8 256
3 / 4 = 0 <- 6th number .
3 / 2 = 1 <- 7th number .
1x2 = 2
Remainder = 3-2 = 1 ^
1 / 1 = 1 <- 8th number |
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Result = 10010011 |
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^hBinary -> Decimal^n
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Example: 10110101 -> ? |
|||||||1 |
||||||2 |
|||||4 |
||||8 |
|||16 ---------------------------------- /
||32
|64
128
Calculation: 1x128 + 0x64 + 1x32 + 1x16 + 0x8 + 1x4 + 0x2 + 1x1 = 181