Easy Accurate Reading and Writing of Floating-Point Numbers

Abstract: Presented here are algorithms for converting between (decimal) scientific-notation and (binary) IEEE-754 double-precision floating-point numbers. By employing a rounding integer quotient operation these algorithms are much simpler than those previously published. The values are stable under repeated conversions between the formats. Unlike Java-1.8, the scientific representations generated use only the minimum number of mantissa digits needed to convert back to the original binary values.