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A numerical digit (often shortened to just digit) or numeral is a single symbol used alone (such as "1") or in combinations (such as "15"), to represent numbers in a positional numeral system. The name "digit" comes from the fact that the ten digits (Latin digiti meaning fingers) [1] of the hands correspond to the ten symbols of the common base ...
For expressing numbers with words, see Numeral (linguistics). A numeral system is a writing system for expressing numbers; that is, a mathematical notation for representing numbers of a given set, using digits or other symbols in a consistent manner. The same sequence of symbols may represent different numbers in different numeral systems.
"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 computable number, also known as recursive number, is a real number such that there exists an algorithm which, given a positive number n as input, produces the first n digits of the computable number's decimal representation.
The term numbers or numerals or digits often implies only these symbols, however this can only be inferred from context. Europeans first learned of Arabic numerals c. the 10th century, though their spread was a gradual process. Two centuries later, the Italian scholar Fibonacci encountered the numerals in the Algerian city of Béjaïa.
Quaternary: The base-four numeral system with 0, 1, 2, and 3 as digits. Hexadecimal: Base 16, widely used by computer system designers and programmers, as it provides a more human-friendly representation of binary-coded values. Octal: Base 8, occasionally used by computer system designers and programmers.
Mathematics and science. Numerical digit, as used in mathematics or computer science. Hindu–Arabic numerals, the most common modern representation of numerical digits. Digit (anatomy), the most distal part of a limb, such as a finger or toe. Digit (unit), an ancient measurement unit. Hartley (unit) or decimal digit, a unit of information entropy.
Empty numbers are sometimes made up, with obvious meaning: "squillions" is obviously an empty, but very large, number; a "squintillionth" would be a very small number. Some empty numbers may be modified by actual numbers, such as "four zillion", and are used for jest, exaggeration, or to relate abstractly to actual numbers.