Number System Converter
Convert between Binary, Octal, Decimal, Hex and any custom base. Explore arithmetic and reference tables.
What is Number System Converter?
A number system converter translates integers between different bases — binary (base 2), octal (base 8), decimal (base 10), hexadecimal (base 16), and any custom base from 2 to 36. Understanding and converting between number systems is a core skill in computer science, digital electronics, and low-level programming.
Binary is the native language of computers — every value in memory is ultimately stored as ones and zeros. Hexadecimal is used extensively in web colours, memory addresses, bytecode, and debugging output because it compresses binary neatly into shorter strings. Octal appears in Unix file permission masks and older computing contexts. Decimal is what humans use every day.
This tool converts your input instantly as you type. Enter a value in any base, choose the source and target bases, and see the result immediately. You can also convert to all four standard bases at once — great for seeing the same number in binary, octal, decimal, and hex side by side. Custom base mode handles bases from 2 to 36 using digits 0-9 followed by letters A-Z.
The converter also shows the step-by-step breakdown of each conversion — useful for students learning the division-remainder method or the positional notation approach. All conversions are performed locally with no network calls.
How to Use Number System Converter
- Enter your number
Type the number you want to convert into the input field. Use digits 0-9 and letters A-F for hexadecimal values.
- Select the source base
Choose the base your input number is currently in — binary, octal, decimal, hexadecimal, or a custom base.
- Pick target base(s)
Select one or more target bases. Use "convert all" to see binary, octal, decimal, and hex results at the same time.
- Copy the result
Click any result to copy it to your clipboard for use in code, documentation, or further calculations.
Key Benefits
Results update instantly with every keystroke — no submit button, no delay.
View binary, octal, decimal, and hexadecimal representations simultaneously for quick comparison.
Understand the conversion process with a shown working section explaining each division or positional step.
Convert to and from any base between 2 and 36, covering all standard and many non-standard number systems.
Frequently Asked Questions
The converter supports binary (base 2), octal (base 8), decimal (base 10), hexadecimal (base 16), and any custom base from 2 to 36. Custom bases use digits 0-9 and letters A-Z.
Each hexadecimal digit represents exactly four binary bits, making hex a compact and human-readable way to express binary data. Memory addresses, colour codes, and bytecode are all commonly written in hex.
Repeatedly divide the decimal number by 2 and record the remainder each time. Read the remainders from bottom to top to get the binary equivalent. The tool shows this step-by-step in the working section.
Yes, the converter uses JavaScript's BigInt internally, so it handles arbitrarily large integers well beyond the 32-bit or 64-bit limits of typical hardware.