Binary to octal converter
Convert binary to octal by grouping bits in threes, with clean output and quick copy. Includes decimal and hexadecimal equivalents and clear steps.
Binary to Octal Calculator Online (Step-by-Step)
Convert binary to octal with 3-bit grouping, auto padding, and a step table. Decimal and hexadecimal equivalents included.
Octal
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Normalized binary
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Decimal
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Hexadecimal
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Auto steps: 3-bit groups to octal digits
| Triad | Octal digit | Power | Contribution | Running total |
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How to convert binary to octal
The conversion is straightforward because each octal digit encodes 3 bits. You only need triads and a short lookup.
- Normalize the string. Keep only 0s and 1s; strip 0b, spaces, and underscores.
- Add padding (optional). If the length is not a multiple of 3, pad with leading zeros to complete the last triad. You can disable padding when you must preserve the original length.
- Group in triads. Split the bits from left to right into 3-bit chunks and note each group.
- Convert each chunk. Translate every triad to decimal (0–7) and write the resulting octal digit in the same order.
- Cross-check with decimals. Compute the decimal and/or hexadecimal equivalents to validate the octal result.
Example: 1011101 → padded to 010 111 101 → octal digits 2 7 5 → final value 275₈.
000 → 0
010 → 2
111 → 7
010 111 101 → 275₈
101 011 101 → 535₈
FAQ
We accept 0s and 1s with an optional 0b prefix and spaces or underscores as separators. The calculator cleans the string before processing.
Octal works in groups of three. Padding with left zeros ensures every triad is complete so the conversion is one-to-one.
Yes. Each card includes a Copy button that sends the normalized binary, the octal result, or the decimal/hex equivalents to your clipboard.
You will see the original binary without added leading zeros. Grouping stays in triads, but the first chunk may be incomplete and the step table can warn about it.
We list each triad, its power, and decimal contribution up to 2048 bits to keep the view readable. Calculations continue beyond that length without the detailed table.
