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In some systems, while the base is a positive integer, negative digits are allowed. Non-adjacent form is a particular system where the base is b = 2.In the balanced ternary system, the base is b = 3, and the numerals have the values −1, 0 and +1 (rather than 0, 1 and 2 as in the standard ternary system, or 1, 2 and 3 as in the bijective ternary system).
"A base is a natural number B whose powers (B multiplied by itself some number of times) are specially designated within a numerical system." [1]: 38 The term is not equivalent to radix, as it applies to all numerical notation systems (not just positional ones with a radix) and most systems of spoken numbers. [1]
A non-zero numeral with more than one digit position will mean a different number in a different number base, but in general, the digits will mean the same. [14] For example, the base-8 numeral 23 8 contains two digits, "2" and "3", and with a base number (subscripted) "8".
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.
Positional numeral systems are a form of numeration. Straight positional numeral systems can be found in this main category, whereas systems displaying various irregularities are found in the subcategory Non-standard positional numeral systems. Numeral systems of various cultures are found in the category Category:Numeral systems.
Positional notation also known as place-value notation, in which each position is related to the next by a multiplier which is called the base of that numeral system Binary notation, a positional notation in base two; Octal notation, a positional notation in base eight, used in some computers; Decimal notation, a positional notation in base ten ...
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The numbers 200-900 would be confused easily with 22 to 29 if they were used in chemistry. khīlioi = 1000, diskhīlioi = 2000, triskhīlioi = 3000, etc. 13 to 19 are formed by starting with the Greek word for the number of ones, followed by και (the Greek word for 'and'), followed by δέκα (the Greek word for 'ten').