question concerning rounding of numbers
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Hi
I am having trouble rounding a number to a fixed number of digits. Can anyone explain the problem I am encountering? (As shown in this figure)
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James Tursa
2015-3-26
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John D'Errico
2015-3-26
As has been said, no matter how hard you try, you cannot represent 30.7 exactly as a double precision number. That is a binary representation, and your number is not exactly representable.
In fact, this is true of almost all the numbers you will write in decimal form. The exceptions are integers of a reasonable size, and those numbers that can be written as sums of limited negative powers of 2. So 0.5, and 0.375 will be exactly represented.
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Luuk van Oosten
2015-3-26
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