Hexadecimal to Decimal Converter
Enter a hexadecimal number.
RESULT
(CAFE.27)_{16} = (51966.15234375)_{10}
DESCRIPTIONS
We multiply each digit with its place value and add the products.
(CAFE.27)_{16} = (12 × 16^{3}) + (10 × 16^{2}) + (15 × 16^{1}) + (14 × 16^{0}) + (2 × 16^{-1}) + (7 × 16^{-2})
= $\mathbf{49152}$ + $\mathbf{2560}$ + $\mathbf{240}$ + $\mathbf{14}$ + $\mathbf{\dfrac{2}{16}}$ + $\mathbf{\dfrac{7}{256}}$
= (51966.15234375)_{10}
OTHER INFORMATION
To convert a hexadecimal number to decimal we multiply each digit with its place value and add the products.
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.
Hexadecimal to decimal converter,
You can use hexadecimal to decimal converter in two ways.
You can enter a hexadecimal 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 hexadecimal 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 decimal equivalents of other hexadecimal numbers 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.
Hexadecimal to Decimal Converter