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What does 'not a number' indicate?

Updated: 8/21/2019
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Not a Number or NaN is a special case coded value in IEEE floating point, which most computers now use by default. It basically means that a calculation was done with invalid operands (e.g. 0/0, log(0), square root of a negative number).

The main advantage of NaN for computers, especially those with deeply pipelined floating point arithmetic units, is it eliminates large numbers of floating point exceptions causing pipeline flushes... allowing the error to propagate to the end of the calculation and be detected by a simple test for NaN instead of having to handle an exception and all its overhead. This allows both for significant speed increase and in some computers simpler circuitry.

Another special case coded value in IEEE floating pointis Infinity or Inf. It basically means what it says and results from calculations that overflow (e.g. divide by zero).

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