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  2. Unary numeral system - Wikipedia

    en.wikipedia.org/wiki/Unary_numeral_system

    The unary numeral system is the simplest numeral system to represent natural numbers: [1] to represent a number N, a symbol representing 1 is repeated N times. [ 2 ] In the unary system, the number 0 (zero) is represented by the empty string , that is, the absence of a symbol.

  3. List of numeral systems - Wikipedia

    en.wikipedia.org/wiki/List_of_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]

  4. Numeral system - Wikipedia

    en.wikipedia.org/wiki/Numeral_system

    The positional systems are classified by their base or radix, which is the number of symbols called digits used by the system. In base 10, ten different digits 0, ..., 9 are used and the position of a digit is used to signify the power of ten that the digit is to be multiplied with, as in 304 = 3×100 + 0×10 + 4×1 or more precisely 3×10 2 ...

  5. Positional notation - Wikipedia

    en.wikipedia.org/wiki/Positional_notation

    10 b = b for any base b, since 10 b = 1×b 1 + 0×b 0. For example, 10 2 = 2; 10 3 = 3; 10 16 = 16 10. Note that the last "16" is indicated to be in base 10. The base makes no difference for one-digit numerals. This concept can be demonstrated using a diagram. One object represents one unit.

  6. Natural number - Wikipedia

    en.wikipedia.org/wiki/Natural_number

    Many other number sets are built from the natural numbers. For example, the integers are made by adding 0 and negative numbers. The rational numbers add fractions, and the real numbers add infinite decimals. Complex numbers add the square root of −1. This chain of extensions canonically embeds the natural numbers in the other number systems ...

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  8. Quater-imaginary base - Wikipedia

    en.wikipedia.org/wiki/Quater-imaginary_base

    Most numbers have a unique quater-imaginary representation, but just as 1 has the two representations 1 = 0. 9 in decimal notation, so, because of 0. 0001 2i = ⁠ 1 / 15 ⁠, the number1 / 5 ⁠ has the two quater-imaginary representations 0. 0003 2i = 3· ⁠ 1 / 15 ⁠ = ⁠ 1 / 5 ⁠ = 1 + 3· ⁠ –4 / 15 ⁠ = 1. 0300 2i.

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