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What does numeral system mean?

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Anonymous

15y ago
Updated: 10/17/2024

From relevant wikipedia articles:

A numeral system (or system of numeration) is a writing system for expressing numbers, that is a mathematical notation for representing numbers of a given set, using digits in a consistent manner. It can be seen as the context that allows the numerals "11" to be interpreted as the binary symbol for three, the decimal symbol for eleven, or as other numbers in different bases.

  • A sign-value notation represents numbers by a series of numeric signs that added together equal the number represented. In Roman numerals for example, X means ten and L means fifty. Hence LXXX means eighty (50 + 10 + 10 + 10).
  • Positional (or place-value) notation can use the same symbol for the different orders of magnitude (for example, the "one's place", "ten's place", "hundred's place"). The base(also called radix) is usually the number of unique digits, including zero, that a positional numeral system uses to represent numbers. For example, for the decimal system the radix is 10, because it uses the 10 digits from 0 through 9. Today, the base 10 (decimal) system is ubiquitous. Others include binary (base 2) and hexadecimal (base 16) notations used by computers as well as the base 60 notation of Babylonian numerals.
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