Normal number (computing)

In computing, a normal number is a non-zero number in a floating-point representation which is within the balanced range supported by a given floating-point format: it is a floating point number that can be represented without leading zeros in its significand.
The magnitude of the smallest normal number in a format is given by "b""emin", where "b" is the base (radix) of the format (usually 2 or 10) and "emin" depends on the size and layout of the format. 
Similarly, the magnitude of the largest normal number in a format is given by 
where "p" is the precision of the format in digits and "emax" is (−"emin")+1.
In the IEEE 754 binary and decimal formats, "b", "p", "emin", and "emax" have the following values:
For example, in the smallest decimal format, the range of positive normal numbers is 10−95 through 9.999999 × 1096.
Non-zero numbers smaller in magnitude than the smallest normal number are called denormal (or subnormal) numbers. Zero is neither normal nor subnormal.