Decimal to Binary Converter
Enter a number.
RESULT
(85.375)_{10} = (1010101.011)_{2}
DESCRIPTIONS
We convert the whole number and fractional parts separately and then combine the results.
WHOLE NUMBER PART
The whole number part of 85.375 is 85. Divide this number repeatedly by 2 until the quotient becomes 0.
Write the remainders from bottom to top.
(85)_{10} = (1010101)_{2}
FRACTIONAL PART
The fractional part of 85.375 is 0.375. Multiply the fractional part repeatedly by 2 until it becomes 0.
From top to bottom, write the integer parts of the results to the fractional part of the number in base 2.
(0.375)_{10} = (0.011)_{2}
OVERALL RESULT
Combine the whole number and fractional parts to obtain the overall result.
(85.375)_{10} = (1010101)_{2} + (0.011)_{2} = (1010101.011)_{2}
OTHER INFORMATION
We apply the following rules to convert a decimal number to binary.
For example, to convert decimal
When we divide
(
In case, the decimal number is not an integer, we can convert the whole number and fractional parts separately and add the binary equivalents up.
To convert the fractional part of a decimal number, we apply the following rules.
For example, to convert
The fractional part of
We continue with the fractional part of
The fractional part of
(
Binary representation of
(
= (
= (
Decimal to binary converter,
You can use decimal to binary converter in two ways.
You can enter a decimal number to the input box and click on the "CONVERT" button. The result and explanations appaer below the calculator
You can click on the DIE ICON next to the input box. If you use this property, a random decimal 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.
To check the binary equivalent of other decimals you can clear the input box by clicking on the CLEAR button under the input box.
You can copy the generated solution by clicking on the "Copy Text" link, appaers under the solution panel.
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.
Decimal to Binary Converter