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  2. Round-off error - Wikipedia

    en.wikipedia.org/wiki/Round-off_error

    Round-by-chop: The base-expansion of is truncated after the ()-th digit. This rounding rule is biased because it always moves the result toward zero. Round-to-nearest: () is set to the nearest floating-point number to . When there is a tie, the floating-point number whose last stored digit is even (also, the last digit, in binary form, is equal ...

  3. Talk:Round-off error - Wikipedia

    en.wikipedia.org/wiki/Talk:Round-off_error

    Break ties by rounding either to an even digit (default), or away from zero. Round to −∞: Round to a value less than or equal to the original number. If the original number is positive, this is equivalent to truncation. Round to +∞: Round to a value greater than or equal to the original number. If the original number is negative, this is ...