Glossary

Mantissa

Beginner

The part of a stored number that holds its digits. More bits here means a more exact number.

Novice

The fraction bits of a floating-point number (also called the trailing significand). With mm mantissa bits, each power-of-two interval is split into 2m2^m equal steps, so mm sets the precision.

Expert

The stored fraction field; the significand is 1.M1.M for normal numbers and 0.M0.M for subnormals, so precision p=m+1p = m + 1. Relative spacing is 2−m2^{-m} within a binade; the significand multiplier’s area grows roughly as p2p^2.