Base Converter

About the Base Converter Tool

We built this Base Converter for programmers, students, and anyone curious about how numbers work in different systems. It's a simple and fast way to convert numbers between the four most common bases used in computer science: Decimal (base 10), Hexadecimal (base 16), Octal (base 8), and Binary (base 2). Just type a number in any of the boxes, and the tool will instantly convert it to all the other bases.

How to Use the Tool

• Enter a number into any of the four input boxes: Decimal, Hexadecimal, Octal, or Binary.
• As you type, the other three boxes will automatically update in real-time with the converted values.
• If you enter an invalid character for a specific base (like the number '9' in the Octal box), you will see an error message.
• You can use the copy button next to any field to quickly copy its value to your clipboard.

Frequently Asked Questions

What are number bases?

A number base is the number of unique digits used to represent numbers. We use Decimal (base 10) in everyday life, which has ten digits (0-9). Computers, however, operate on Binary (base 2), which has only two digits (0 and 1). Hexadecimal (base 16) and Octal (base 8) are often used in programming as a more compact way to represent binary numbers.

Why is Hexadecimal (Hex) used in programming?

Hexadecimal is used because it's a very convenient way to represent binary data. Since 16 is a power of 2 (16 = 2^4), one hex digit can represent exactly four binary digits. For example, the binary string `1111` is just `F` in hex. This makes it much easier for humans to read and write long binary numbers, which is common in tasks like memory addressing and defining colors (e.g., `#FF0000` for red).

What is the difference between the number systems?

• Decimal (Base 10): Uses digits 0-9. This is the system we use every day.
• Binary (Base 2): Uses only digits 0 and 1. This is the fundamental language of computers.
• Octal (Base 8): Uses digits 0-7. It was more common in early computing.
• Hexadecimal (Base 16): Uses digits 0-9 and letters A-F. It's widely used in programming and web development to represent colors, memory addresses, and more.

How does this tool handle very large numbers?

Our tool is built to handle very large integers, even those that exceed the limits of standard JavaScript numbers. We use a special object type (`BigInt`) to ensure that your conversions are accurate, no matter how big the number is. Many other online converters fail with large values, but ours is designed for precision.

Is the data I enter kept private?

Yes, absolutely. The entire conversion process is done right in your browser using JavaScript. The numbers you enter are never sent to our servers, so your work remains completely private and secure.