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Undenary


Undenary, also called undecimal, is the base-11 numeral system. Its eleven digits can be written 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, and A, with A representing the value 10. In expanded notation, an undenary numeral d_k...d_0 represents the nonnegative integer

 n=sum_(j=0)^kd_j11^j,

where each d_j is a digit value from 0 to 10. For example, (1A)_(11)=1·11+10=21 in decimal. The place values of the fractional part are the negative powers 11^(-1), 11^(-2), ....

The undenary digit sums of successive nonnegative integers, beginning with 0, are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 1, 2, ... (OEIS A053831).


See also

Base, Decimal, Digit, Expanded Notation, Numeral System

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References

De Vlieger, M. T. "Multiplication Tables of Various Bases." Updated Nov. 24, 2014. https://dozenal.org/drupal/sites_bck/default/files/MultiplicationSynopsis.pdf.Math Is Fun. "Number Bases." https://www.mathsisfun.com/numbers/bases.html.Sloane, N. J. A. Sequence A053831 in "The On-Line Encyclopedia of Integer Sequences."

Cite this as:

Weisstein, Eric W. "Undenary." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/Undenary.html

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