Image:Numeral systems.png

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Numbers 0-500 (from top to bottom) in the positional numeral systems of base 2 to 10, represented graphically.

The numbers are listed as follows:

Decimal Base 2
(Binary)
Base 3
(Ternary)
Base 4
(Quaternary)
...
0 0 0 0 ...
1 1 1 1 ...
2 10 2 2 ...
3 11 10 3 ...
4 100 11 10 ...
5 101 12 11 ...

White is used to represent zero, black for the highest number in the base, and shades of gray for the numbers in between. For example, b=10 uses black for digits of the value 9, and medium gray for digits of the value 5.

The individual pixel columns correspond to positions. The total number of such columns seen for one base in the image corresponds to the amount of digits required to express 500. (For base n, this is equal to the ceiling value of the n-logarithm of the number. For example, ⌈log2(500)⌉ = 9; the base 2 representation uses 9 digits/columns, and 6 columns are needed in base 3 since ⌈log3(500)⌉ = 6).

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current04:56, 10 November 2004299×543 (7 KB)Fredrik (Talk | contribs)

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