Number Base Converter

Convert between binary, hexadecimal, decimal, and octal number systems.

Enter Number

Input Base

Enter a valid number in the selected base

Decimal	Hex	Binary	Octal
8	0x08	0000 1000	10
16	0x10	0001 0000	20
32	0x20	0010 0000	40
64	0x40	0100 0000	100
128	0x80	1000 0000	200
255	0xFF	1111 1111	377
256	0x100	1 0000 0000	400
65535	0xFFFF	1111 1111 1111 1111	177777

Understanding Number Bases

Uses digits 0-1. The native language of digital circuits and computers. Each digit represents a power of 2.

Uses digits 0-7. Less common today but still used in some Unix/Linux file permissions.

Uses digits 0-9. The standard human-readable number system we use daily.

Uses 0-9 and A-F. Compact representation of binary data. 1 hex digit = 4 binary bits.

Memory Addresses

Typically represented in hexadecimal (e.g., 0x1000, 0xFFFF)

MCU registers often shown as binary or hex for bit manipulation

Color Codes

RGB colors use hex (e.g., #FF5733 = R:255, G:87, B:51)

I2C/SPI

Device addresses and data commonly expressed in hex

Multiply each binary digit by its position value (powers of 2) and sum them. For example: 1011 = 1×8 + 0×4 + 1×2 + 1×1 = 11

Hex is compact (1 hex digit = 4 bits) and easy to convert to/from binary. It's widely used in programming, memory addressing, and color codes.

0x indicates hexadecimal, 0b indicates binary, and 0o indicates octal. These prefixes help distinguish the number base in code.