tier_2 conversion
Convert octal to binary
Convert octal to binary with a verified formula, worked example, conversion table, precision guidance, and reverse conversion.
octal to binary
octal to binary
Quick answer
The same integer value is re-encoded from base 8 to base 2.
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 octal to binary
- Enter a value in octal.
- Interpret the input digits using the source radix, preserve the integer value, and encode it using the target radix.
- Round the displayed binary value only when needed.
About these units
octal is a unit used in numbers conversions. Numeral-base conversion changes the written representation of a value without changing the value itself. binary 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
octal to binary conversion table
| octal | binary |
|---|---|
| 1 octal | 1 binary |
| 10 octal | 1000 binary |
| 101 octal | 1000001 binary |
| 1000 octal | 1000000000 binary |
| 10000 octal | 1000000000000 binary |
Frequently asked questions
How do I convert from octal to binary?
Interpret the input digits using the source radix, preserve the integer value, and encode it using the target radix.
What formula does CalculatorHQ use for octal to binary?
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.