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I noticed a difference with round() at 15 decimal places, and I need to know why this is so.

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Mara Gati
Mara Gati 2016-4-16
评论： Jan 2016-4-16
Yesterday, I noticed that
round(2.4999999999999999) %15 decimal places
ans =
3
But
round(2.499999999999999) %16 decimal places
ans =
2
This can be for any number, not just 2. Does anybody know what causes this?

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Mara Gati
Mara Gati 2016-4-16
It's OK, I found the answer. Floating point doubles are precise to 15dp only.
Wikipedia page
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John D'Errico
John D'Errico 2016-4-16
It is not 15 decimal digits that matters, since doubles are not stored in decimal form. A double in MATLAB is actually stored in binary. So 52 binary bits represents something a little more accurate than 15 decimal digits.

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