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Senary


Senary is the base-6 numeral system, using the digits 0, 1, 2, 3, 4, and 5. In expanded notation, a senary numeral d_k...d_0 represents the nonnegative integer

 n=sum_(j=0)^kd_j6^j,

where each d_j is a digit value from 0 to 5. For example, 110_6=1·6^2+1·6+0=42 in decimal. The place values of the fractional part are the negative powers 6^(-1), 6^(-2), ....

The senary digit strings for successive nonnegative integers, beginning with 0, are 0, 1, 2, 3, 4, 5, 10, 11, 12, ... (OEIS A007092).


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 A007092 in "The On-Line Encyclopedia of Integer Sequences."

Cite this as:

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

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