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Non-standard positional numeral systems here designates numeral systems that may loosely be described as positional systems, but that do not entirely comply with the following description of standard positional systems: :In a standard positional numeral system, the base ''b'' is a positive integer, and ''b'' different numerals are used to represent all non-negative integers. Each numeral represents one of the values 0, 1, 2, etc., up to ''b''-1, but the value also depends on the position of the digit in a number. The value of a digit string like in base ''b'' is given by the polynomial form ::. :The numbers written in superscript represent the powers of the base used. :For instance, in hexadecimal (''b''=16), using the numerals A for 10, B for 11 etc., the digit string 7A3F means ::, :which written in our normal decimal notation is 31295. :Upon introducing a radix point "." and a minus sign "–", all real numbers can be represented. This article summarizes facts on some non-standard positional numeral systems. In most cases, the polynomial form in the description of standard systems still applies. Certain historical numeral systems like the sexagesimal Babylonian notation or the Chinese rod numerals could be classified as standard systems of base 60 and 10, respectively (unconventionally counting the space representing zero as a numeral). However, they could also be classified as non-standard systems (more specifically, mixed-base systems with unary components), if the primitive repeated glyphs making up the numerals are considered. ==Bijective numeration systems== A bijective numeral system with base ''b'' uses ''b'' different numerals to represent all non-negative integers. However, the numerals have values 1, 2, 3, etc. up to and including ''b'', whereas zero is represented by an empty digit string. For example it is possible to have decimal without a zero. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Non-standard positional numeral systems」の詳細全文を読む スポンサード リンク
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