Base Converter

Convert numbers between Binary, Octal, Decimal, and Hexadecimal

Binary (Base 2)

Octal (Base 8)

Decimal (Base 10)

Hexadecimal (Base 16)

Number Bases Explained

Binary

Binary (Base 2) uses only two digits: 0 and 1. It is the fundamental language of computers, where each digit (bit) represents an electrical state (off or on). Binary numbers are prefixed with 0b.

Example: 0b1010 = 10 (decimal)

0-7

Octal

Octal (Base 8) uses digits from 0 to 7. It was widely used in early computing as a compact representation of binary (3 bits = 1 octal digit). Octal numbers are prefixed with 0 or 0o.

Example: 012 = 10 (decimal)

0-9

Decimal

Decimal (Base 10) uses digits from 0 to 9. It is the most common number system used by humans, based on the ten fingers. Decimal numbers have no prefix.

Example: 10 = 10 (decimal)

0-F

Hexadecimal

Hexadecimal (Base 16) uses digits from 0 to 9 and letters A to F (representing 10-15). It is widely used in programming for representing colors, memory addresses, and binary data. Hexadecimal numbers are prefixed with 0x.

Example: 0xA = 10 (decimal)