Matrix Representation of the Multiplying Properties of Binary Rate Multipliers

An exact representation of the multiplying property of a binary rate multiplier (BRM) is derived. The equations are in a simple matrix form with a common multiplier matrix, the order and elements of which are easily predicted for BRM´s of any given bit magnitude. Equations are developed for particular input constraints and may be combined when more than one input constraint condition exists. The equations are of a form which is particularly useful in the analysis of digital feedback systems using BRM´s.