![]() ![]() You can copy the output of the decimal to binary converter to the input of the binary to decimal converter and compare the results (be sure not to copy the ‘…’ part of the number - the binary converter will flag it as invalid.)Ī decimal integer or dyadic fractional value converted to binary and then back to decimal matches the original decimal value a non-dyadic value converts back only to an approximation of its original decimal value. The converter is set up so that you can explore properties of decimal to binary and binary to decimal conversion. Exploring Properties of Decimal/Binary Conversion In this case, an ellipsis (…) is appended to the end of the binary number, and the number of fractional digits is noted as infinite with the ‘∞’ symbol. Fractional decimal values that are non-dyadic convert to infinite (repeating) fractional binary values, which are truncated - not rounded - to the specified number of bits. This means that the decimal input has 2 digits in its integer part and 3 digits in its fractional part, and the binary output has 6 digits in its integer part and 3 digits in its fractional part.įractional decimal values that are dyadic convert to finite fractional binary values and are displayed in full precision. For example, when converting decimal 43.125 to binary 101011.001, the number of digits is displayed as ‘2.3 to 6.3’. Outputīesides the converted result, the number of digits in both the original and converted numbers is displayed. If you want to convert another number, just type over the original number and click ‘Convert’ - there is no need to click ‘Clear’ first.
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