For example, a fixed-point representation that has 5 decimal digits with the decimal point positioned after the third digit can represent the numbers 123.34, 12.23, 2.45, etc… whereas floating-point representation with 5 digit precision can represent 1.2345, 12345, 0.00012345, etc… Similarly, floating-point representation also allows calculations over a wide range of magnitudes while maintaining precision. The advantage of floating over fixed point representation is that it can support a wider range of values. The IEEE 754 standard is widely used because it allows-floating point numbers to be stored in a reasonable amount of space and calculations can occur relatively quickly. The standard defines how floating-point numbers are stored and calculated. OverviewĮxcel was designed in accordance to the IEEE Standard for Binary Floating-Point Arithmetic ( IEEE 754). Well the scenario you are facing may be due to floating point precision. Have you ever encountered a similar situation where your spreadsheet does not give you the result you were expecting for a seemingly simple calculation? You have checked over your calculations and still cannot figure out where it went wrong. I then increase the precision of the absolute difference column in order to get more precise results. I check over my conditional formatting rule and the formula I used to calculate the absolute difference (=ABS(A2-B2)), they seem to be correct. As a scan down the table, I notice that the value of 0.005 is not highlighted. So I apply a conditional formatting rule on the absolute difference column to format values greater than or equal to 0.005 to be red. I want to be able to quickly identify the cases where the absolute difference is greater than or equal to 0.005.
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Today’s author: Jessica Liu, a Program Manager on the Excel team, discusses the way Excel performs calculations, explains why sometimes you see answers you may not expect, and provides some tips on how to avoid rounding issues.
We sometimes get mails from our customers claiming to have found a calculation error in Excel, when in fact the calculation isn’t wrong, but the side effects of binary floating point precision make it seem that way.
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