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Floating-Point Summation

Enter some numbers delimited with the semicolon ";" character.

Examples: 0.1;0.2;0.3, 0.1;0.2, 0.25;0.5,

Real numbers are represented in computing as an approximation. Numbers with a common fraction in which the denominator is a power of two are stored as exact numbers: 1/2, 1/4, 3/8, etc. See the Floating-point arithmetics article on Wikipedia.

Some algorithms can reduce the numerical error which accumulates when adding real numbers in a sequence. For example, Kahan summation algorithm and its variations. Note: these algorithms work for three or more numbers.