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# Online Computer Terms Dictionary - F

## fixed point

<mathematics> The fixed point of a function, f is any value, x for which f x = x. A function may have any number of fixed points from none (e.g. f x = x+1) to infinitely many (e.g. f x = x). The fixed point combinator, written as either "fix" or "Y" will return the fixed point of a function.

(1995-04-13)

Nearby terms: FIX « fix « fixed disk « fixed point » fixed-point » fixed point combinator » fixed-width

## fixed-point

<programming> A number representation scheme where a number R is represented by an integer N such that R=N*B, where B is the (assumed) base of the representation.

On computers with no floating-point unit fixed-point calculations can be significantly faster as all the operations are basically integer operations. Apart from that, fixed-point representation has the advantage of having uniform density, i.e., the smallest resolvable difference of the representation is B throughout the representable range, in sharp contrast to floating-point representations.

(1998-05-18)

Nearby terms: fix « fixed disk « fixed point « fixed-point » fixed point combinator » fixed-width » FIXME

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