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Binary to Octal Converter

Convert Binary to Octal

Octal Result

Step-by-Step Working

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    About This Converter

    Convert binary to octal by grouping bits into sets of 3 from the right. Each 3-bit group maps to one octal digit (0-7). Enter any binary number and see the octal conversion with the grouping method explained.

    Worked Examples

    Binary: 11111111 → Octal: 377

    Group: 011 111 111 → 3,7,7 → 377

    Binary: 111101101 → Octal: 755

    111=7, 101=5, 101=5 → 755 (chmod permissions)

    Binary: 1010 → Octal: 12

    Pad: 001 010 → 1,2 → 12 octal

    Need More Bases?

    For full multi-base conversion (binary, octal, decimal, and hex all at once), use our Number System Converter — it shows all four representations simultaneously with complete step-by-step working.

    Frequently Asked Questions

    How do I convert binary to octal?

    Group binary digits into sets of 3 from the right (pad with leading zeros if needed), then convert each group to its octal digit (0-7).

    Why group in threes for octal?

    Because 8 = 2³, exactly 3 binary bits represent one octal digit, making the conversion a direct mapping.

    What is binary 111 in octal?

    Binary 111 = octal 7 (the maximum single octal digit).

    Do I need to pad binary with leading zeros?

    Pad the leftmost group to 3 bits if it has fewer. For example, 10 → 010 → octal 2.

    What is the fastest way to convert binary to octal?

    Just group bits in threes from the right and map each group: 000=0, 001=1, 010=2, ..., 111=7.

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