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A numeral system is how we represent a number. The value of a number depends on the digit we use and its position.
For example, in decimal system (the most widely used system), we use ten figures for representing a number (0,1,….,8,9) and 89 has not the same value as 98, despite the fact that we use the same figures for representing both numbers.
Ideally, a numeral system will:
Source:
Some ancient numeral systems:
picture source
http://math.tutorvista.com/number-system.html
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