For a particular format in the IEEE 754-2008 framework, a normal number is a finite nonzero floating-point number with magnitude greater than or equal to a minimum value b^emin where here, b is the radix and emin is the minimum exponent. Normal numbers can use the full precision available in a format. Finite nonzero floating-point numbers which aren't normal are said to be subnormal. The given definition of normal number shouldn't be confused with the definition of normal number from number theory. In that instance, a number is said to be normal if it is irrational and if any finite pattern of numbers occurs with the expected limiting frequency in the expansion relative to a given base.

arithmetic | biased exponent | floating-point algebra | floating-point arithmetic | floating-point exponent | 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