Convert Binary (bin) to Octal (oct)
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Updated on September 1, 2025
You can use our Binary (bin) to Octal (oct) conversion calculator as a reliable and efficient tool to simplify number conversions. It is designed for professionals, students, and anyone who needs a quick and accurate result. Conversion of Binary (bin) to Octal (oct) is crucial in Digital circuits related measurements. You can avoid the risk of manual calculation errors and save valuable time using our Binary (bin) to Octal (oct) converter.About Binary (bin) to Octal (oct) Conversion Calculator
Written By
Nadiba Rahman
Reviewed by
Mrinmoy Roy
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Relation Between Binary (bin) and Octal (oct)
Let me explain to you about the relation between Binary bin and Octal (oct) first before moving to the conversion process. Because it’s essential to grasp what these units represent.What is Binary (bin)?
The binary number system is a base-2 system, using only two digits (0 and 1) to represent numbers. Binary (bin) is a unit of number measurement which is commonly used in Digital circuits. Binary is the fundamental language of computers, as they operate using electronic circuits that can only represent two states (on/off). This simplicity makes it well-suited for digital logic and computer hardware..What is Octal (oct)?
Binary (bin) is another unit of number measurement that is used in Computer programming. The octal number system is a base-8 system, using eight digits (0-7) to represent numbers.. Binary is the fundamental language of computers, as they operate using electronic circuits that can only represent two states (on/off). This simplicity makes it well-suited for digital logic and computer hardware..How to Convert Octal (oct)?
The conversion between Binary (bin) and Octal (oct) follows a simple formula:Octal (oct) = ∑(bₙ₊₂×4 + bₙ₊₁×2 + bₙ×1) for every 3 bits (oct)
Binary (bin) = ∑(bₙ×2ⁿ) where bₙ is binary representation of each octal digit (bin)
Where, ∑(bₙ₊₂×4 + bₙ₊₁×2 + bₙ×1) for every 3 bits and ∑(bₙ×2ⁿ) where bₙ is binary representation of each octal digit is the value that allows you to convert between Binary (bin) and Octal (oct).
So,
1 Octal = 1 (bin)
And, 1 Binary = 1 (oct)
Examples of Converting Binary (bin) to Octal (oct)
To convert any value from Binary (bin) to Octal (oct), simply multiply the amount of Binary (bin) by the conversion factor:1 Octal (oct) = 1 Binary (bin)
For example, if you want to convert 101 Binary into Octal and the conversion formula is ( ∑(bₙ₊₂×4 + bₙ₊₁×2 + bₙ×1) for every 3 bits), then:
101 Binary (bin) = 5 Octal (oct)
Binary (bin) to Octal (oct) Conversion Chart
Here’s a quick reference chart for common conversions between Binary (bin) and Octal (oct)| Binary (bin) | Octal (oct) |
|---|---|
| 1 Binary(bin) | 1 Octal (oct) |
| 101 Binary(bin) | 5 Octal (oct) |
| 1010 Binary(bin) | 12 Octal (oct) |
| 1111 Binary(bin) | 17 Octal (oct) |
| 10100 Binary(bin) | 24 Octal (oct) |
| 11001 Binary(bin) | 31 Octal (oct) |
| 11110 Binary(bin) | 36 Octal (oct) |
| 100011 Binary(bin) | 43 Octal (oct) |
| 101000 Binary(bin) | 50 Octal (oct) |
| 101101 Binary(bin) | 55 Octal (oct) |
How 1010 Binary (bin) Converts to Other number Units
See the relation between Binary (bin) and other number related measurement units:| 1010 Binary(bin) | 10 Decimal (dec) |
| 1010 Binary(bin) | a Hexadecimal (hex) |
Features of Our Binary (bin) to Octal (oct) Conversion Calculator
Our Binary bin to Octal (oct) converter is more than just a basic converter. Here's what makes it stand out:Output Precision Control
You can control how precise your conversion results are. From settings, you can adjust decimal places from 0 to 12 places.Customizable Rounding Options
You can control the output rounding options based on your necessity. You can turn the rounding mode on or off, and select between Ceiling or Floor rounding to match your needs.Multiple Number Formats
Display your results the way you want:- Standard format (e.g. 12.345245)
- Scientific notation (e.g. 1.23452e+1)
- Engineering format (e.g. 1.23452 × 10^1)