Computer arithmetic

NaN

In computing, NaN (/næn/), standing for Not a Number, is a member of a numeric data type that can be interpreted as a value that is undefined or unrepresentable, especially in floating-point arithmetic. Systematic use of NaNs was introduced by the IEEE 754 floating-point standard in 1985, along with the representation of other non-finite quantities such as infinities. In mathematics, zero divided by zero is undefined and is therefore represented by NaN in computing systems. The square root of a negative number is not a real number, and is therefore also represented by NaN in compliant computing systems. NaNs may also be used to represent missing values in computations. Two separate kinds of NaNs are provided, termed quiet NaNs and signaling NaNs. Quiet NaNs are used to propagate errors resulting from invalid operations or values. Signaling NaNs can support advanced features such as mixing numerical and symbolic computation or other extensions to basic floating-point arithmetic. (Wikipedia).

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Related pages

IEEE 754 | Indeterminate form | Exponentiation | Absolute value | Arithmetic overflow | Extended real number line | Negation | Logarithm | Inverse trigonometric functions | Data type | Normal number (computing) | Signed zero | Negative number | LLVM | Floating-point arithmetic | Subnormal number | Arithmetic underflow | Sign bit | Associative property | Value (mathematics) | Mathematics | Integer | Real number | Infinity | IEEE 754-2008 revision | Complex number | Computer algebra | Square root | IEEE 754-1985 | Zero to the power of zero | Object (computer science)