BijectiveNumerals

Bijective base $k$: digits $1,\dots,k$, with no zero digit at all — every positive integer has exactly one representation, and zero is the empty numeral. Bijective base 26 is how spreadsheet columns are lettered (A, …, Z, AA, …).

BijectiveNumerals(k)the system, digits $1,\dots,k$

Typed signatures

Type	Package	Applies
(integer) -> value	numerals	always

Domain: Numeral systems

Examples

Basic #

$28$ is "AB" in spreadsheet lettering: digits $1, 2$

live ↗

In$\mathrm{IntegerDigits}(28, \mathrm{BijectiveNumerals}(26))$Out$\bigl\lbrack1, 2\bigr\rbrack$

No zero digit: $10 = 1\cdot 4 + 2\cdot 2 + 2\cdot 1$

live ↗

In$\mathrm{IntegerDigits}(10, \mathrm{BijectiveNumerals}(2))$Out$\bigl\lbrack1, 2, 2\bigr\rbrack$

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Examples	2

See also: IntegerDigits, BijectiveRadix