Number Base Converter

How to use the Number Base Converter

1. Enter a number in any of the four input fields: binary, octal, decimal, or hexadecimal.
2. The other three base representations update automatically in real time.
3. If the decimal value is a printable ASCII character, it will be displayed alongside the results.
4. Copy the converted value you need for use in your project or assignment.

Why hexadecimal shows up so much in programming

Hex is popular in programming specifically because it maps cleanly onto binary: each hex digit represents exactly 4 binary bits (a "nibble"), so a byte (8 bits) is always exactly 2 hex digits. This is why colors are written as 6-digit hex codes (2 digits each for red, green, blue, each channel being one byte), and why memory addresses and error codes are almost always shown in hex rather than decimal. It's a far more compact and bit-aligned representation than decimal is.

Frequently asked questions

What bases does it support?

Binary (base 2), octal (base 8), decimal (base 10), and hexadecimal (base 16), converting between any pair instantly.

Does it handle negative numbers?

Negative number representation in other bases depends on the convention being used (two's complement being the most common in computing), so check what convention your specific use case expects before assuming a direct sign-flip translation.

Why do I need octal at all? Isn't it outdated?

Mostly, yes, for general use, but it still shows up in specific contexts like Unix file permission notation (e.g., `chmod 755`), which is why it's included even though it's rarer than the other three in everyday programming.