N-ary Numbers Converter Online

Decoded

Num from N-ary	Radix

Encoded

Num to N-ary	Radix

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About N-ary numbers

N-ary numbers (base N) represent numbers in positional notation with N symbols (usually numbers "0-9" and letters "A-Z").

DenCode supports bases from 2 to 36. For bases larger than 10 (11 to 36), letters of the alphabet starting from "A" are used in order to represent numbers of 10 or more. For example, 10 to 15 are represented by A to F in base 16, and 10 to 35 are represented by A to Z in base 36.

An example of conversion in each radix is as follows.

Decimal	Binary	Octal	Hexadecimal	Base 32	Base 36
0	0	0	0	0	0
1	1	1	1	1	1
2	10	2	2	2	2
7	111	7	7	7	7
8	1000	10	8	8	8
9	1001	11	9	9	9
10	1010	12	A	A	A
15	1111	17	F	F	F
16	10000	20	10	G	G
17	10001	21	11	H	H
31	11111	37	1F	V	V
32	100000	40	20	10	W
35	100011	43	23	13	Z
36	100100	44	24	14	10

Also, numbers after the decimal point are converted as N^-1 (1/N), N^-2 (1/N²), N^-3 (1/N³), ... in N-ary numbers. If the number after the decimal point cannot be represented by the total of N^-n, it cannot be completely converted to N-ary and an error will occur. In that case, DenCode omits it by adding "..." at the end.

Decimal	Binary	Octal	Hexadecimal	Base 32	Base 36
0.5	0.1	0.4	0.8	0.G	0.I
0.75	0.11	0.6	0.C	0.O	0.R
0.9	0.11100110011001...	0.71463...	0.E666...	0.SPJ6...	0.W...