Binary to Octal Converter

Convert binary (base-2) numbers to octal (base-8) instantly with a step-by-step 3-bit grouping breakdown. Supports batch conversion and reverse direction.

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Binary → Octal

3-Bit Binary to Octal Reference

000
= 0
001
= 1
010
= 2
011
= 3
100
= 4
101
= 5
110
= 6
111
= 7

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Bidirectional

Convert binary to octal and octal back to binary. Click the Swap button to switch direction instantly.

3-Bit Grouping

See the visual breakdown of binary digits grouped into 3-bit sets, each mapping directly to an octal digit.

Batch Conversion

Convert multiple binary values at once. Enter space or comma-separated values for fast bulk conversion.

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Frequently Asked Questions

How do I convert binary to octal?
Group the binary digits into sets of 3 from right to left, padding with leading zeros if needed. Then convert each 3-bit group to its octal digit (0-7). For example, binary 11111101 → 011 111 101 → 3 7 5 → octal 375.
Why does binary to octal use groups of 3?
Because 8 = 2³, each octal digit represents exactly 3 binary bits. This makes the conversion direct — no arithmetic needed, just group and map. This mathematical relationship is why octal was historically popular as a compact binary representation in early computing.
What is binary 11111111 in octal?
Binary 11111111 in octal is 377. Grouping into 3-bit sets: 011 111 111 → 3, 7, 7. This represents decimal 255, the maximum value of an unsigned 8-bit byte.
What is the difference between binary and octal?
Binary is base-2 (uses only 0 and 1), the fundamental language of digital computers. Octal is base-8 (digits 0-7), a compact representation of binary. Since 8 is a power of 2, each octal digit maps to exactly 3 binary digits, making conversion straightforward without arithmetic.
Can I convert octal back to binary?
Yes! Click the "Swap Direction" button to switch to Octal → Binary mode. To manually convert, replace each octal digit with its 3-bit binary equivalent. For example, octal 375 → 3=011, 7=111, 5=101 → binary 11111101.