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Binary to Octal Converter

Convert binary numbers (base 2) to octal (base 8) instantly. Group every 3 binary bits to get one octal digit — this converter does it automatically for any length binary input.

100% client sideInstant resultNo data sent
Binary to Octal
Binary (Base 2)
Octal (Base 8)
Result appears here...

Frequently asked questions

4 answers
Group the binary number into sets of 3 bits from right to left, padding with leading zeros if needed. Convert each 3-bit group to its decimal value (0–7). For example, 110 111 = 6 7 → octal 67. For 10 111 (grouped as 010 111) → 2 7 → octal 27.

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About Binary to Octal Conversion

Binary and octal are both powers of 2 (2¹ and 2³ respectively), giving them a natural alignment: every 3 bits correspond to exactly one octal digit. This made octal a popular shorthand for binary in early PDP and mainframe systems. Today, the most common use is in Unix/Linux, where binary permission bits (rwxrwxrwx) group naturally into three sets of three, which then read as a three-digit octal value like 755 or 644.