Multiple-valued logic design using multiple-valued EXOR

An approach to logic minimization using a new sum operation called multiple valued EXOR is proposed. The paper introduces the multiple valued sum of products expression using the EXOR. As the scheme of the minimization, we utilize an idea based on neural computing. First, we demonstrate the method to minimize the binary EXOR of MINs expressions and show that the method is effective. Next, we apply the method to the three valued EXOR of MINs expression. Experimental results for all three valued two variable functions show that our proposed multiple valued EXOR of MINs expressions require fewer product terms than both the MAX of MINs and TSUM of MINs expressions.