High Precision Decimal Calculator

Standard calculators and programming languages often struggle with decimal arithmetic due to their reliance on binary floating-point representation (IEEE 754). This architecture leads to infamous errors such as 0.1 + 0.2 = 0.30000000000000004. While negligible for casual use these discrepancies are unacceptable in financial accounting, scientific research, and high-precision engineering.

This tool bypasses standard number processing by treating numbers as strings of digits. It performs school-method arithmetic to ensure that every decimal place is preserved exactly as entered. It supports operations with configurable precision up to 50 significant digits making it ideal for checking the results of sensitive algorithms or handling currency calculations where rounding artifacts must be avoided.

This calculator implements arbitrary-precision arithmetic. For a sum of two numbers x and y it aligns the decimal points and adds digit by digit carrying the overflow:

Unlike floating point systems which allocate fixed bits for the exponent and mantissa this logic scales dynamically to the memory limit ensuring accuracy is limited only by user configuration.