Octal to Binary Converter

Convert octal (Base-8, digits 0-7) numbers into 3-bit binary groups, instantly and entirely in your browser.

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Base-8 and 3-Bit Grouping

Octal uses exactly 8 symbols — digits 0 through 7, with no 8 or 9. Since 3 bits can represent exactly 8 values (2³ = 8), every octal digit maps directly to a 3-bit binary group, making conversion a simple digit-by-digit lookup.

This relationship is why Unix file permissions use octal: each rwx permission triplet is naturally a 3-bit binary pattern, so chmod 755 encodes three separate 3-bit groups in a single readable number.

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