M input radix p optical logic operations in a photorefractive BaTiO(3) crystal

A generalized coding algorithm for multiple inputs multiple-valued logic operations is proposed. This algorithm can reduce the unused pixels generated in the encoding process of the odd number of inputs. Using circle-type coded patterns and the correlation property in a photorefractive BaTiO(3) crystal, m input radix p logic operations are made possible. Detailed descriptions and advantages of the proposed method are presented and its effectiveness is demonstrated in the case of a three-input binary system. Uses for the proposed method, including binary half-adder/subtractor and binary multiplier, are given.