OPTICAL MODIFIED SIGNED-DIGIT ADDITION MODULE BASED ON BOOLEAN POLARIZATION-ENCODED LOGIC ALGEBRA

The modified signed-digit (MSD) number system satisfies the requiremen ts of totally parallel addition using identical units and enables the addition of any two numbers in three sucessive steps. We show a simple and compact design of the parallel optical addition module based on M SD number representation using Boolean polarization-encoded logic alge bra (BPLA). The four transforms of MSD addition are expressed mathemat ically and the realization of the transform module using liquid crysta l devices (LCDs) are also given. (C) 1996 Society of Photo-Optical Ins trumentation Engineers.