How do you convert from any base to another base?

First convert the source number to decimal by multiplying each digit by the source base raised to its position. Then repeatedly divide the decimal value by the destination base and read the remainders.

Which digits are used above base 10?

Bases above 10 use letters A through Z for digit values 10 through 35.

Number conversion

Number Base Converter

Convert integers from any base 2 through base 36 to any other base. Get binary, octal, decimal, hexadecimal, grouped byte output, ASCII hints, validation, and calculation steps in one place.

Base input

Convert from any base

base 2-36

Enter number

From base To base

Result number FF 255 in base 10 equals FF in base 16.

Common bases

Binary, octal, decimal, and hexadecimal

Binary11111111base 2

Octal377base 8

Decimal255base 10

HexadecimalFFbase 16

Grouped binary1111 11114-bit groups

Grouped hexFFbyte groups

Developer view

ASCII / UnicodeU+00FF: y with diaeresis

Bit length8 bits

Byte length1 byte

SignPositive integer

Calculation steps

Base to decimal

255 = 2 x 10^2 + 5 x 10^1 + 5 x 10^0 = 255

Decimal to destination base

255 / 16 = 15 remainder 15 (F)
15 / 16 = 0 remainder 15 (F)
Read remainders upward: FF

How to convert from any base to any base

1. Source base to decimalMultiply each digit by the source base raised to the digit position, starting from position 0 at the right.

2. Decimal to target baseDivide by the target base repeatedly and collect each remainder as the next digit.

3. Digit values above 9A=10, B=11, C=12, D=13, E=14, F=15, and so on through Z=35.

4. Integer scopeThis converter focuses on integers, which covers most binary, hex, byte, ID, and programming use cases.

Common base reference table

Decimal	Binary	Octal	Hex
0	0000	0	0
1	0001	1	1
2	0010	2	2
3	0011	3	3
4	0100	4	4
5	0101	5	5
6	0110	6	6
7	0111	7	7
8	1000	10	8
9	1001	11	9
10	1010	12	A
15	1111	17	F
16	1 0000	20	10
255	1111 1111	377	FF

Popular base conversions

FAQ

What bases are supported?

This converter supports integer conversion from base 2 through base 36.

Can I convert hexadecimal values like 0xFF?

Yes. Prefixes such as 0x, 0b, and 0o are accepted when they match the selected base.

Why does base 36 use letters?

Base 36 uses digits 0-9 plus letters A-Z, giving 36 possible digit symbols.