Convert numbers between Binary, Decimal, Octal, and Hexadecimal systems instantly. A fundamental tool for computer science students, programmers, and network engineers.
Understanding Number Systems
While humans naturally think in Decimal (Base 10), computers operate in Binary (Base 2). To bridge this gap, computer scientists use other systems like Hexadecimal (Base 16) to represent large binary numbers more concisely. Our Number Base Converter allows you to translate values between these common systems effortlessly.
Supported Bases
Binary (Base 2)
The language of computers, consisting only of 0s and 1s. Used for low-level programming and digital logic.
Octal (Base 8)
Uses digits 0-7. Historically used in computing (e.g., Unix file permissions like 755).
Decimal (Base 10)
The standard system used in everyday life, based on 10 digits (0-9).
Hexadecimal (Base 16)
Uses 0-9 and A-F. Widely used for memory addresses, color codes, and byte representation.
Custom Base (2-36)
Need to convert to Base 36 or Base 5? Our tool supports conversion to and from any arbitrary base up to 36.
How to Convert
- Input Number: Type your number into the field corresponding to its current base (e.g., type "101" into Binary).
- Automatic Calculation: As you type, all other fields update instantly to show the equivalent value in other bases.
- Validate: The tool prevents invalid input (e.g., typing "2" in a binary field) to ensure accuracy.
Common Conversion Examples
| Decimal | Binary | Hexadecimal | Octal |
|---|---|---|---|
| 10 | 1010 | A | 12 |
| 255 | 11111111 | FF | 377 |
| 1024 | 10000000000 | 400 | 2000 |
Frequently Asked Questions
Why do programmers confuse Halloween and Christmas?
Because Octal 31 equals Decimal 25 (OCT 31 = DEC 25)! Just a classic computer science joke.
What is the maximum number supported?
The tool uses JavaScript's BigInt support, allowing for conversions of arbitrarily large integers beyond the standard safety limit of 2^53.
Do you support negative numbers?
Yes, simple negative numbers are supported. However, for Two's Complement representation, please check our specific binary tools.