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Convert Octal (oct) to Binary (bin)

Please provide values below to convert Octal (oct) to Binary (bin).
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      Updated on September 1, 2025

      About Octal (oct) to Binary (bin) Conversion Calculator

      Written By
      author
      Nadiba Rahman
      Reviewed by
      author
      Mrinmoy Roy
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      You can use our Octal (oct) to Binary (bin) 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 Octal (oct) to Binary (bin) is crucial in Computer programming related measurements. You can avoid the risk of manual calculation errors and save valuable time using our Octal (oct) to Binary (bin) converter.

      Relation Between Octal (oct) and Binary (bin)

      Let me explain to you about the relation between Octal oct and Binary (bin) first before moving to the conversion process. Because it’s essential to grasp what these units represent.

      What is Octal (oct)?

      The octal number system is a base-8 system, using eight digits (0-7) to represent numbers. Octal (oct) is a unit of number measurement which is commonly used in Computer programming. Octal is sometimes used in computing, particularly in older systems and for representing certain data structures. It offers a more compact representation compared to binary for some applications..

      What is Binary (bin)?

      Octal (oct) is another unit of number measurement that is used in Digital circuits. The binary number system is a base-2 system, using only two digits (0 and 1) to represent numbers.. Octal is sometimes used in computing, particularly in older systems and for representing certain data structures. It offers a more compact representation compared to binary for some applications..

      How to Convert Binary (bin)?

      The conversion between Octal (oct) and Binary (bin) follows a simple formula:

      Binary (bin) = ∑(bₙ×2ⁿ) where bₙ is binary representation of each octal digit (bin)

      Octal (oct) = ∑(bₙ₊₂×4 + bₙ₊₁×2 + bₙ×1) for every 3 bits (oct)

      Where, ∑(bₙ×2ⁿ) where bₙ is binary representation of each octal digit and ∑(bₙ₊₂×4 + bₙ₊₁×2 + bₙ×1) for every 3 bits is the value that allows you to convert between Octal (oct) and Binary (bin).

      So,

      1 Binary = 1 (oct)

      And, 1 Octal = 1 (bin)
      alt

      Examples of Converting Octal (oct) to Binary (bin)

      To convert any value from Octal (oct) to Binary (bin), simply multiply the amount of Octal (oct) by the conversion factor:

      1 Binary (bin) = 1 Octal (oct)

      For example, if you want to convert 5 Octal into Binary and the conversion formula is ( ∑(bₙ×2ⁿ) where bₙ is binary representation of each octal digit), then:

      5 Octal (oct) = 101 Binary (bin)

      Octal (oct) to Binary (bin) Conversion Chart

      Here’s a quick reference chart for common conversions between Octal (oct) and Binary (bin)
      Octal (oct)Binary (bin)
      1 Octal(oct)1 Binary (bin)
      5 Octal(oct)101 Binary (bin)
      12 Octal(oct)1010 Binary (bin)
      17 Octal(oct)1111 Binary (bin)
      24 Octal(oct)10100 Binary (bin)
      31 Octal(oct)11001 Binary (bin)
      36 Octal(oct)11110 Binary (bin)
      43 Octal(oct)100011 Binary (bin)
      50 Octal(oct)101000 Binary (bin)
      55 Octal(oct)101101 Binary (bin)
      You can use the above chart for quick and easy reference.

      How 12 Octal (oct) Converts to Other number Units

      See the relation between Octal (oct) and other number related measurement units:
      12 Octal(oct)10 Decimal (dec)
      12 Octal(oct)a Hexadecimal (hex)

      Features of Our Octal (oct) to Binary (bin) Conversion Calculator

      Our Octal oct to Binary (bin) 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:
      1. Standard format (e.g. 12.345245)
      2. Scientific notation (e.g. 1.23452e+1)
      3. Engineering format (e.g. 1.23452 × 10^1)

      Integrated Scientific Calculator

      We know you need to switch between a unit converter and a general calculator back and forth. To minimize your hassle, our Octal oct to Binary (bin) converter comes up with an integrated scientific calculator.

      Conversion History Tracking

      You can always review your past number conversions and go to them whenever you like. It stores your most recent 10 unit conversions.

      Thousand Separators Toggle

      Our Octal oct to Binary (bin) converter improves the output readability by toggling the thousand separators “On”. It’s useful when you work with large numbers.

      Conclusion

      Now, you understand how to convert Octal oct to Binary (bin) manually. But you can bypass the manual calculation using our number conversion calculator. This allows you to get faster and accurate results in Binary (bin), which you can use in Computer programming related measurements. With the help of our integrated scientific calculator, calculation history tracking, and precision control, our Octal oct to Binary (bin) converter is your swiss army knife for daily calculations.
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