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2. Rounding - Wikipedia

   en.wikipedia.org/wiki/Rounding

   Rounding to a specified power is very different from rounding to a specified multiple; for example, it is common in computing to need to round a number to a whole power of 2. The steps, in general, to round a positive number x to a power of some positive number b other than 1, are:

3. Numeric precision in Microsoft Excel - Wikipedia

   en.wikipedia.org/wiki/Numeric_precision_in...

   Excel maintains 15 figures in its numbers, but they are not always accurate; mathematically, the bottom line should be the same as the top line, in 'fp-math' the step '1 + 1/9000' leads to a rounding up as the first bit of the 14 bit tail '10111000110010' of the mantissa falling off the table when adding 1 is a '1', this up-rounding is not undone when subtracting the 1 again, since there is no ...

4. Cash rounding - Wikipedia

   en.wikipedia.org/wiki/Cash_rounding

   The Malaysia government announced the introduction of a rounding mechanism to the nearest multiple of 5 sen for over-the-counter payments to be fully implemented by 1 April 2008. The total amount of a bill which ends in 1, 2, 6 and 7 sen will be rounded down while the total bill which ends in 3, 4, 8 and 9 sen will be rounded up to the nearest ...

5. Round-off error - Wikipedia

   en.wikipedia.org/wiki/Round-off_error

   There are two common rounding rules, round-by-chop and round-to-nearest. The IEEE standard uses round-to-nearest. 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 ...

6. Floating-point arithmetic - Wikipedia

   en.wikipedia.org/wiki/Floating-point_arithmetic

   The nearest floating-point number with only five digits is 12.346. And 1/3 = 0.3333… is not a floating-point number in base ten with any finite number of digits. In practice, most floating-point systems use base two, though base ten (decimal floating point) is also common.

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