Optical modified signed‐digit addition module based on Boolean polarization‐encoded logic algebra
Bin Wang · Optical Engineering · 1996
The modified signed-digit (MSD) number system satisfies the requirements 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 MSD number representation using Boolean polarization-encoded logic algebra (BPLA). The four transforms of MSD addition are ex- pressed mathematically and the realization of the transform module us- ing liquid crystal devices (LCDs) are also given. © 1996 Society of Photo- Optical Instrumentation Engineers.