Number Base Conversion: Binary, Octal, Decimal, Hex
Convert numbers between binary, octal, decimal, and hexadecimal. Step-by-step conversion methods with worked examples for each direction.
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Tags: developer-tools, number-systems, conversion
Number Base Conversion: Convert Between Binary, Octal, Decimal, Hex Number base conversion is a core skill for systems programming, debugging, and understanding how computers store data. Whether you're reading a memory address in hex, setting Unix file permissions in octal, or interpreting bit flags in binary, you need to move fluently between bases. This article covers the algorithm behind base conversion, how to implement it in JavaScript and Python, and patterns for the conversions you'll do most often. --- The Universal Algorithm Every positional number system works the same way: a digit at position (counting from the right, starting at 0) contributes to the total value. That means every number has a canonical decimal value, and conversion is just: Parse the source number in base N →…
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