Saturday, May 24, 2008

Number Notation

Hierarchy of Numbers

0 ([text:zero]) 1 ([text:one]) 2 ([text:two]) 3 ([text:three]) 4 ([text:four]) 5 ([text:five]) 6 ([text:six]) 7 ([text:seven]) 8 ([text:eight]) 9 ([text:nine]) 10 ([text:ten]) 10^2 ([text:hundred]) 10^3 ([text:thousand])

[text:name] [text:American-French] [text:English-German]
[text:million] 10^6 10^6
[text:billion] 10^9 10^12
[text:trillion] 10^12 10^18
[text:quadrillion] 10^15 10^24
[text:quintillion] 10^18 10^30
[text:sextillion] 10^21 10^36
[text:septillion] 10^24 10^42
[text:octillion] 10^27 10^48
[text:nonillion] 10^30 10^54
[text:decillion] 10^33 10^60
[text:undecillion] 10^36 10^66
[text:duodecillion] 10^39 10^72
[text:tredecillion] 10^42 10^78
[text:quatuordecillion] 10^45 10^84
[text:quindecillion] 10^48 10^90
[text:sexdecillion] 10^51 10^96
[text:septendecillion] 10^54 10^102
[text:octodecillion] 10^57 10^108
[text:novemdecillion] 10^60 10^114
[text:vigintillion] 10^63 10^120
googol 10^100
googolplex 10^googol = 10^(10^100)

SI Prefixes

NumberPrefixSymbol
10 1deka-da
10 2hecto-h
10 3kilo-k
10 6mega-M
10 9giga-G
10 12tera-T
10 15peta-P
10 18exa-E
10 21zeta-Z
10 24yotta-Y
NumberPrefixSymbol
10 -1deci-d
10 -2centi-c
10 -3milli-m
10 -6micro-u (greek mu)
10 -9nano-n
10 -12pico-p
10 -15femto-f
10 -18atto-a
10 -21zepto-z
10 -24yocto-y

[text:Roman Numerals]

I=1V=5X=10L=50C=100D=500M=1 000
_
V=5 000
_
X=10 000
_
L=50 000
_
C = 100 000
_
D=500 000
_
M=1 000 000
[text:Examples]:
1 = I
2 = II
3 = III
4 = IV
5 = V
6 = VI
7 = VII
8 = VIII
9 = IX
10 = X
11 = XI
12 = XII
13 = XIII
14 = XIV
15 = XV
16 = XVI
17 = XVII
18 = XVIII
19 = XIX
20 = XX
21 = XXI
25 = XXV
30 = XXX
40 = XL
49 = XLIX
50 = L
51 = LI
60 = LX
70 = LXX
80 = LXXX
90 = XC
99 = XCIX

[text:Number Base Systems]

[text:decimal] [text:binary] [text:ternary] oct hex
0 0 0 0 0
1 1 1 1 1
2 10 2 2 2
3 11 10 3 3
4 100 11 4 4
5 101 12 5 5
6 110 20 6 6
7 111 21 7 7
8 1000 22 10 8
9 1001 100 11 9
10 1010 101 12 A
11 1011 102 13 B
12 1100 110 14 C
13 1101 111 15 D
14 1110 112 16 E
15 1111 120 17 F
16 10000 121 20 10
17 10001 122 21 11
18 10010 200 22 12
19 10011 201 23 13
20 10100 202 24 14
[text:JavaScript Base Conversion Calculator] ([text:This converts non-integer values & negative bases too!])
[text:from base] [text:to base] [text:value to convert]
[text:Caution: due to CPU restrictions, some rounding has been known to occur for numbers spanning greater than 12 base10 digits, 13 hexadecimal digits or 52 binary digits.] [text:Just like a regular calculator, rounding can occur.]


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