BASIC MATH CALCULATORS


TOOL: BINARY TO DECIMAL CONVERTER (WITH STEPS)


BASE N TO DECIMAL CONVERTERS

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BINARY TO DECIMAL CONVERTER (WITH STEPS)

Enter a binary number.


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RESULT

(1010.11)2 = (10.75)10

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DESCRIPTIONS

1010.111x2-21x2-10x201x210x221x23Place Value

We multiply each binary digit with its place value and add the products.

(1010.11)2 = (1 × 23) + (0 × 22) + (1 × 21) + (0 × 20) + (1 × 2-1) + (1 × 2-2)

= 8\mathbf{8} + 2\mathbf{2} + 12\mathbf{\dfrac{1}{2}} + 14\mathbf{\dfrac{1}{4}}

= (10.75)10

OTHER INFORMATION

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BASE N TO DECIMAL CONVERTERS

2 3 4 5 6 7 8 9 11 12 13 14 15 16

INFORMATION

BINARY TO DECIMAL CONVERSION

To convert a binary number to decimal we multiply each digit with its place value and add the products.

Binary number place values

Each place value can be represented by an exponential number whose base is equal to the base of the number. Exponent of the place value increases by 1 if we move 1 digit left and the exponent of the ones digit is equal to zero.

WHAT IS BINARY TO DECIMAL CONVERTER?

Binary to decimal converter,

  • Computes the decimal equivalent of the entered number,
  • Describes the solution step by step and
  • Illustrates the place values.

HOW TO USE BINARY TO DECIMAL CONVERTER?

You can use binary to decimal converter in two ways.

  • USER INPUTS

    Convert button

    You can enter a binary number to the input box and click on the "CONVERT" button. The result and explanations appaer below the calculator

  • RANDOM INPUTS

    Random button-convert

    You can click on the DIE ICON next to the input box. If you use this property, a random binary number is generated and entered to the calculator, automatically. You can see the result and explanations below the calculator. You can create your own examples and practice using this property.

  • CLEARING THE INPUT BOX

    Clear button-two inputs

    To check the decimal equivalents of other binary numbers you can clear the input box by clicking on the CLEAR button under the input box.

  • COPYING & DOWNLOADING THE SOLUTION

    • Copy Link

      You can copy the generated solution by clicking on the "Copy Text" link, appaers under the solution panel.

    • Download Link

      Even you can download the solution as an image file with .jpg extension if you click on the "Download Solution" link at the bottom of the solution panel. You can share the downloaded image file.

 

CALCULATORS

Base Converters