Base 4 to Decimal Converter
Enter a base 4 number.
(123)_{4} = (27)_{10}
SOLUTION
We multiply each digit by its place value and add the products.
(123)_{4} = (1 × 4^{2}) + (2 × 4^{1}) + (3 × 4^{0})
= (1 × 16) + (2 × 4) + (3 × 1)
= 16 + 8 + 3
= (27)_{10}
OTHER INFORMATION
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To convert a base 4 number to decimal we multiply each digit by its place value and add the products.
Each place value can be represented by an exponential number whose base is equal to 4. 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.
Base 4 to decimal converter,
You can use base 4 to decimal converter in two ways.
You can enter a base 4 number into the input box and then click the '
You can click on the DIE ICON next to the input box to generate a random base 4 number, which will be automatically entered into the calculator. The result and explanations will then appear below the calculator. You can also create your own examples and practice using this feature.
To find the decimal equivalent of another base 4 number, click on the CLEAR button to clear the input box.
You can copy the generated solution by clicking on the 'Copy Text' link located below the solution panel.
You can also download the solution as an image file with a .jpg extension by clicking on the 'Download Solution' link located at the bottom of the solution panel. You can then share the downloaded image file.
Base 4 to Decimal Converter