Number Base Converter — Binary, Hex & More

Number Base Converter — Binary, Octal, Decimal & Hex

Convert numbers between binary (base 2), octal (base 8), decimal (base 10), and hexadecimal (base 16) systems instantly. Enter a number in any base and see all conversions simultaneously. An essential tool for programmers, computer science students, and electronics engineers.

The converter interprets your input according to the selected base, converts it to a standard integer representation, and then formats the output in all four bases. Hexadecimal uses digits 0-9 and letters A-F. Binary uses only 0 and 1. Octal uses 0-7. The conversion handles both positive numbers and large values.

Web developers convert hex color codes (#FF5733) to understand RGB values. Network engineers work with binary for subnet mask calculations. Low-level programmers read hexadecimal memory addresses and byte values. Students learn number systems in computer science courses and need quick verification of manual calculations.

When working with hex colors, remember that each pair of hex digits represents one byte (0-255) for red, green, and blue channels. In binary, practice reading groups of 4 bits as a single hex digit — this mental shortcut speeds up conversions significantly. For Unix permissions, each octal digit maps to 3 binary bits (rwx).

While programming language consoles and calculator apps can convert between bases, this tool shows all four representations at once without writing any code. For understanding how Unix file permissions use octal notation, see our Chmod Calculator. For color-related conversions, our Color Converter handles HEX, RGB, and HSL.