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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 |
- |
- Result = $807B |
- |
- ^hHexadecimal -> Decimal^n
- |
- 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 |
- |
- Result = 10010011 |
- |
- ^hBinary -> Decimal^n
- |
- Example: 10110101 -> ? |
- |||||||1 |
- ||||||2 |
- |||||4 |
- ||||8 |
- |||16 ---------------------------------- /
- ||32
- |64
- 128
-
- Calculation: 1x128 + 0x64 + 1x32 + 1x16 + 0x8 + 1x4 + 0x2 + 1x1 = 181
-
-