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Binary to Decimal Conversion Calculator

The Binary to Decimal Conversion Calculator will calculate the:

  1. The corresponding decimal number when its binary form is known
  2. Round the decimal number to a specific number of decimal places as required
Binary to Decimal Conversion Calculator
Binary to Decimal Conversion Calculator Results (detailed calculations and formula below)
The Decimal equivalent of the binary number is
Binary to Decimal Conversion Formula and Calculations
X =
X =
X =
[see below for computations]
Binary To Decimal Number Converter Calculator Input Values
Binary Number (n) =

Please note that the formula for each calculation along with detailed calculations are available below. As you enter the specific factors of each binary to decimal number converter calculation, the Binary To Decimal Number Converter Calculator will automatically calculate the results and update the Physics formula elements with each element of the binary to decimal number converter calculation. You can then email or print this binary to decimal number converter calculation as required for later use.

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Discover Physics with free Physics Revision Notes and Physics Calculator: Binary To Decimal Number Converter. This image shows the properties and binary to decimal number converter formula for the Binary To Decimal Number Converter. The Binary to Decimal Conversion Calculator will calculate the corresponding decimal number when its binary form is known.

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Formula and Calculation

X = n1 × 20 + n2 × 21 + n3 × 22 + n4 × 23 ...

Where n1 is the first digit of the binary number, n2 the second digit of the binary number and so forth. Note that the largest finite decimal number for a 16 binary digit is 65504 though the largest value for representation is infinite.

Electrodynamics Physics Tutorials associated with the Binary To Decimal Number Converter Calculator

The following Physics tutorials are provided within the Electrodynamics section of our Free Physics Tutorials. Each Electrodynamics tutorial includes detailed Electrodynamics formula and example of how to calculate and resolve specific Electrodynamics questions and problems. At the end of each Electrodynamics tutorial you will find Electrodynamics revision questions with a hidden answer that reveals when clicked. This allows you to learn about Electrodynamics and test your knowledge of Physics by answering the test questions on Electrodynamics.

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