Simply stated, floating-point algebra is algebra performed on floating-point representations by any number of automated devices. Traditionally, this definition is phrased so as to apply only to algebra performed on floating-point representations of real numbers (i.e., to finite elements of the collection of floating-point numbers) though several additional types of floating-point data including signed infinities and NaNs are also commonly allowed as inputs for such functions. In many widely-adopted standards, e.g., IEEE 754-2008, floating-point algebra falls under the larger heading of floating-point arithmetic.

algebra | biased exponent | floating-point arithmetic | floating-point exponent | floating-point normal number | floating-point number | floating-point preferred exponent | floating-point quantum | floating-point representation | IEEE 754-2008 | interval arithmetic | NaN | quiet NaN | signaling NaN | significand | subnormal number