tier_2 conversion
Convert binary to octal
Convert binary to octal with a verified formula, worked example, conversion table, precision guidance, and reverse conversion.
binary to octal
binary to octal
Quick answer
The same integer value is re-encoded from base 2 to base 8.
Formula
The numeral is parsed in the source base and re-encoded in the target base without changing its mathematical value.
Precision
Radix conversion is exact for integer inputs and does not require decimal rounding.
How to convert binary to octal
- Enter a value in binary.
- Parse the numeral in its original base and re-express the same value with the destination base's digit set.
- Round the displayed octal value only when needed.
About these units
binary is a unit used in numbers conversions. Numeral-base conversion changes the written representation of a value without changing the value itself. octal is a unit used in numbers conversions. Numeral-base conversion changes the written representation of a value without changing the value itself.
Explore related conversions
binary to octal conversion table
| binary | octal |
|---|---|
| 1 binary | 1 octal |
| 10 binary | 2 octal |
| 101 binary | 5 octal |
| 1000 binary | 10 octal |
| 10000 binary | 20 octal |
Frequently asked questions
How do I convert from binary to octal?
Parse the numeral in its original base and re-express the same value with the destination base's digit set.
What formula does CalculatorHQ use for binary to octal?
The numeral is parsed in the source base and re-encoded in the target base without changing its mathematical value.
How should I round the result?
Radix conversion is exact for integer inputs and does not require decimal rounding.
Does changing the number base change the value?
No. Only the representation changes; the underlying integer remains the same.