AdicNumerals

The first prec $b$-adic digits, always fixed-width: the sign is folded into the digits rather than a sign bit, giving a bijection between $(-b^{prec}/2, b^{prec}/2]$ and width-prec digit strings.

AdicNumerals(b, prec?)the system, width prec (default 20)

Typed signatures

Type	Package	Applies
(integer, integer?) -> value	numerals	always

Domain: Numeral systems

Examples

Basic #

Width-6 digits, most significant first: leading zeros pad

live ↗

In$\mathrm{IntegerDigits}(1\,234, \mathrm{AdicNumerals}(10, 6))$Out$\bigl\lbrack0, 0, 1, 2, 3, 4\bigr\rbrack$

The sign is folded into the digits: $-1$ is all ones in base 2

live ↗

In$\mathrm{IntegerDigits}(-1, \mathrm{AdicNumerals}(2, 6))$Out$\bigl\lbrack1, 1, 1, 1, 1, 1\bigr\rbrack$

Scope #

$-7 \equiv 9993 \pmod{10^4}$

live ↗

In$\mathrm{IntegerDigits}(-7, \mathrm{AdicNumerals}(10, 4))$Out$\bigl\lbrack9, 9, 9, 3\bigr\rbrack$

About

Examples	3

See also: IntegerDigits, AdicNumeral, AdicExpansion