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This variant of the round-to-nearest method is also called convergent rounding, statistician's rounding, Dutch rounding, Gaussian rounding, odd–even rounding, [6] or bankers' rounding. [ 7 ] This is the default rounding mode used in IEEE 754 operations for results in binary floating-point formats.
A round number is an integer that ends with one or more "0"s (zero-digit) in a given base. [1] So, 590 is rounder than 592, but 590 is less round than 600. In both technical and informal language, a round number is often interpreted to stand for a value or values near to the nominal value expressed.
An equal distance is possible when the rounding interval is an even number. The introduction of cash rounding is typically accompanied by publicity campaigns for awareness among both consumers and implementing merchants; smaller campaigns will accompany the extension of an existing rounding system to a higher rounding interval.
The highest averages, divisor, or divide-and-round methods [1] are a family of apportionment algorithms that aim to fairly divide a legislature between several groups, such as political parties or states. [1] [2] More generally, divisor methods can be used to round shares of a total, e.g. percentage points (which must add up to 100). [2]
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 ...
Numbers with a magnitude strictly larger than k are rounded to the corresponding infinity. [18] "Round to nearest, ties to even" is the default for binary floating point and the recommended default for decimal. "Round to nearest, ties to away" is only required for decimal implementations. [19]
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