Number Base Converter — Binary, Octal, Hex

Number Base Systems

A number base (or radix) determines how many unique digits are used to represent numbers. Our decimal system uses 10 digits (0–9). Computers use binary (base 2) — only 0s and 1s — because electronic circuits have two states: on (1) and off (0).

Common Number Bases

Base	Name	Digits Used	Common Use
2	Binary	0, 1	Computer hardware, processors
8	Octal	0–7	Unix file permissions, older systems
10	Decimal	0–9	Everyday arithmetic
16	Hexadecimal	0–9, A–F	Colors, memory addresses, debugging

Conversion Reference (Decimal → Binary)

Decimal	Binary	Octal	Hex
0	0000	0	0
8	1000	10	8
15	1111	17	F
16	10000	20	10
255	11111111	377	FF
256	100000000	400	100
1024	10000000000	2000	400

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