![]() ![]() All other numbers are simply approximated when stored as a floating-point number. The only numbers that can be stored perfectly as a float without any losses are powers of 2 scaled by integers because that's how the format stores numbers. HiPER Scientific Calculator is a popular calculator with more than 35 million downloads and 200 000 five-star ratings. Small bits of information get lost, and they can wreak havoc if not accounted for. This is, unfortunately, the drawback of the ubiquitous floating-point format - it's not 100% precise. This is the higher accuracy of float64 in action, but the error is still not 0 0 0 - the conversion is still not lossless. The error due to this loss of precision will also be reported. The floating-point calculator will also show you the actual value stored due to the loss of precision inherent to the floating-point format. The IEEE754 floating-point binary and hexadecimal representations of both single- and double-precision floats will be shown below. Then:Įnter your number in the field below that. If you want to convert a value into its floating-point representation, select number to floating-point at the top of the calculator. The value stored in your float will be shown at the bottom of the calculator. ![]() You can enter the sign, exponent, and fraction separately, or you can enter the entire bit-string in one go - select your preference in the Bit input method dropdown menu. This determines how your binary representation will be interpreted.Įnter the floating-point number's binary digits. If you want to convert the binary encoding of a floating-point number to the decimal number it represents, select floating-point to number at the top of the calculator. Before we get into the bits and bytes of the float32 and float64 number formats, let's learn how the floating-point calculator works.
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