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Convert Binary (bin) to Decimal (dec)

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

      About Binary (bin) to Decimal (dec) Conversion Calculator

      Written By
      author
      Nadiba Rahman
      Reviewed by
      author
      Mrinmoy Roy
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      You can use our Binary (bin) to Decimal (dec) 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 Decimal (dec) 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 Decimal (dec) converter.

      Relation Between Binary (bin) and Decimal (dec)

      Let me explain to you about the relation between Binary bin and Decimal (dec) 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 Decimal (dec)?

      Binary (bin) is another unit of number measurement that is used in Financial systems. The decimal number system is a base-10 system, using ten digits (0-9) 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 Decimal (dec)?

      The conversion between Binary (bin) and Decimal (dec) follows a simple formula:

      Decimal (dec) = ∑(bₙ×2ⁿ) where bₙ ∈ {0,1} (dec)

      Binary (bin) = ∑(dₙ×2ⁿ) where dₙ ∈ {0,1} (bin)

      Where, ∑(bₙ×2ⁿ) where bₙ ∈ {0,1} and ∑(dₙ×2ⁿ) where dₙ ∈ {0,1} is the value that allows you to convert between Binary (bin) and Decimal (dec).

      So,

      1 Decimal = 1 (bin)

      And, 1 Binary = 1 (dec)
      alt

      Examples of Converting Binary (bin) to Decimal (dec)

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

      1 Decimal (dec) = 1 Binary (bin)

      For example, if you want to convert 101 Binary into Decimal and the conversion formula is ( ∑(bₙ×2ⁿ) where bₙ ∈ {0,1}), then:

      101 Binary (bin) = 5 Decimal (dec)

      Binary (bin) to Decimal (dec) Conversion Chart

      Here’s a quick reference chart for common conversions between Binary (bin) and Decimal (dec)
      Binary (bin)Decimal (dec)
      1 Binary(bin)1 Decimal (dec)
      101 Binary(bin)5 Decimal (dec)
      1010 Binary(bin)10 Decimal (dec)
      1111 Binary(bin)15 Decimal (dec)
      10100 Binary(bin)20 Decimal (dec)
      11001 Binary(bin)25 Decimal (dec)
      11110 Binary(bin)30 Decimal (dec)
      100011 Binary(bin)35 Decimal (dec)
      101000 Binary(bin)40 Decimal (dec)
      101101 Binary(bin)45 Decimal (dec)
      You can use the above chart for quick and easy reference.

      How 1010 Binary (bin) Converts to Other number Units

      See the relation between Binary (bin) and other number related measurement units:
      1010 Binary(bin)12 Octal (oct)
      1010 Binary(bin)a Hexadecimal (hex)

      Features of Our Binary (bin) to Decimal (dec) Conversion Calculator

      Our Binary bin to Decimal (dec) 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 Binary bin to Decimal (dec) 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 Binary bin to Decimal (dec) 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 Binary bin to Decimal (dec) manually. But you can bypass the manual calculation using our number conversion calculator. This allows you to get faster and accurate results in Decimal (dec), which you can use in Digital circuits related measurements. With the help of our integrated scientific calculator, calculation history tracking, and precision control, our Binary bin to Decimal (dec) converter is your swiss army knife for daily calculations.
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