Number System Converter
Type a value into any box below and the other formats will instantly update in real-time. Supports Decimal, Binary, Hexadecimal, and Octal formats flawlessly.
Converting...
Invalid decimal number.
Only 0 and 1 are allowed.
Invalid hex characters.
Only numbers 0-7 are allowed.
Invalid characters for matching base values.
Invalid values for this selected base.
How it works
This tool instantly translates numbers between six distinct formats simultaneously. Type a valid number in any field, and it will be cross-converted perfectly in real-time. It uses JavaScript's native BigInt parsing to handle massive mathematical strings without breaking, decoding ASCII text via UTF-16, and iterating customizable Radix bounds from Base-2 to Base-36.
About Number Systems
Welcome to our free Number System Converter. This tool allows developers, students, and engineers to instantly convert values between multiple complex formats in complete synchronization:
- Decimal (Base 10): The standard numeric system. Uses digits 0 through 9.
- Binary (Base 2): Internal computer processing data. Uses only 0 and 1.
- Hexadecimal (Base 16): Often used in computer memory and CSS colors. Uses digits 0-9 and letters A-F.
- Octal (Base 8): Originally used for Unix file permissions. Uses digits 0-7.
- ASCII String: Translates raw numeric sequences directly into plain English text characters based on the UTF-16 specification mappings.
- Custom Radix (Base-N): A specialized mathematical processor letting you manually clamp the algorithm to restrict sequences anywhere from Base-2 (binary) up to Base-36 (alphanumeric).
All algorithm computation occurs strictly client-side instantly in your browser. Absolutely zero data is sent to external servers, protecting your privacy and yielding maximum speed.
Frequently Asked Questions
The tool supports Binary (base-2), Octal (base-8), Decimal (base-10), and Hexadecimal (base-16) conversions. You can convert between any combination of these systems.
Binary is a base-2 number system that uses only 0 and 1. It is the fundamental language of computers and digital electronics.
Hexadecimal (base-16) is commonly used in programming for memory addresses, color codes (#FF0000 for red), and representing binary data compactly.
Yes. The tool handles large numbers accurately using JavaScript's BigInt support for precise conversions.
Yes. Gopafy's Number Converter is 100% free with no sign-up required and unlimited usage.
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