Multiple valued logic (MVL) is sought for designing high complexity, highly
compact, parallel digital circuits. However, the practical realization of
an MVL-based system is dependent on optimization of cost, which directly af
fects the optical setup. We propose a minimization technique for MVL logic
optimization based on graphical visualization, such as a Karnaugh map. The
proposed method is utilized to solve signed-digit binary and trinary logic
minimization problems. The usefulness of the minimization technique is demo
nstrated for the optical implementation of MVL circuits. (C) 1999 Society o
f Photo-Optical Instrumentation Engineers. [S0091-3286(99)01103-4].