Number Base Conversion: Convert Between 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. Converting Without Decimal as Intermediary For hex ↔ binary conversions, you can skip decimal entirely because the bases are powers of each other (16 = 2⁴). Hex to binary: replace each hex digit with its 4-bit binary equivalent. Binary to hex: group bits from the right in groups of 4,…
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