Number System Converter

Type a value in any field — Binary, Octal, Decimal or Hex — and all others update in real time.

Instant result Runs in browser

Number Systems

Binary is used by computers (0/1). Octal is used in Unix file permissions. Decimal is everyday counting. Hexadecimal is used in colours, memory addresses and encoding.

Quick Reference

DecBinOctHex
0000
81000108
10101012A
15111117F
16100002010
25511111111377FF

How to use?

  1. 1
    Enter a Value Type a number in any of the four fields. Only valid digits for that base are accepted.
  2. 2
    See All Conversions The remaining three fields update automatically as you type.
  3. 3
    Copy the Result Use the copy button next to each field to copy that specific result to your clipboard.

FAQ

What is binary (base 2)?
Binary uses only the digits 0 and 1. All modern computers store and process data in binary because transistors have two states: on (1) and off (0). For example, decimal 10 = binary 1010.
Why is hexadecimal popular in programming?
One hex digit represents exactly 4 binary bits, making hex a compact representation of binary data. A byte (8 bits) becomes just two hex digits — e.g., 11111111 binary = FF hex = 255 decimal. Hex is used for colours (#FF5733), memory addresses, and hash values.
What is octal used for?
Octal (base 8) uses digits 0–7. It was historically used in computing and is still used in Unix/Linux file permissions (chmod 755). Each octal digit maps to exactly 3 binary bits.

Number System Converter

A number system (or base) defines how numbers are represented using a fixed set of digits. The four most common systems in computing are: binary (base 2) — digits 0–1; octal (base 8) — digits 0–7; decimal (base 10) — digits 0–9; hexadecimal (base 16) — digits 0–9 and A–F. Every digital device ultimately operates in binary, but hex and octal serve as human-readable shorthand. This converter handles non-negative integers and updates all four bases simultaneously as you type.

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