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Octal to Binary Converter

Convert Octal to Binary

Binary Result

Step-by-Step Working

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    About This Converter

    Convert octal numbers to binary by expanding each octal digit into its 3-bit binary equivalent. Enter any octal value like 755 and see the binary result with each digit-to-bits expansion shown. The reverse of grouping — each octal digit becomes exactly 3 binary bits.

    Worked Examples

    Octal: 377 → Binary: 11111111

    3=011, 7=111, 7=111 → 011111111 → 11111111

    Octal: 755 → Binary: 111101101

    7=111, 5=101, 5=101 → 111101101

    Octal: 12 → Binary: 1010

    1=001, 2=010 → 001010 → 1010

    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 octal to binary?

    Replace each octal digit with its 3-bit binary equivalent: 0=000, 1=001, 2=010, 3=011, 4=100, 5=101, 6=110, 7=111.

    What is octal 7 in binary?

    Octal 7 = binary 111 (three 1-bits, the maximum for 3 bits).

    Should I keep leading zeros?

    Leading zeros from the leftmost group can be dropped for the final result, but keeping them may be required in fixed-width contexts.

    How does chmod 755 look in binary?

    7=111, 5=101, 5=101 → 111101101. This shows read/write/execute for owner, read/execute for group and others.

    Is octal to binary conversion always exact?

    Yes, since 8=2³ the mapping is perfect. No rounding or approximation occurs.

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