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For pt. I see ibid vol. 40, no. 8 p 503-14 (1993). The performance of the set of operators proposed in pt. I is compared with existing sets of operators for the realization of multiple-valued logic (MVL) functions. In pt. I, a set of operators was proposed consisting of literal, cycle, complement of literal, complement of cycle, min, and tsum operators (Set 1). This set of operators is compared to two existing sets of operators consisting of literal, complement of literal, min, and tsum operators (Set 2) and literal, min, and tsum operators (Set 3). For 3-valued 2-variable MVL functions, it is shown that the maximum number of product terms (PTs) required to realize all functions can be reduced to three PTs (using the Set 1 operators) from five PTs (using the Set 2 operators) and six PTs (using the Set 3 operators). In addition, it is shown that the average number of PTs required to realize all the functions reduces to 2.61 (using the Set 1 operators) from 3.19 (using the Set 2 operators) and 3.61 (using the Set 3 operators). It is anticipated that similar improvements are possible for higher valued logic. Realizations of a 4-valued 2-variable function based on different sets of operators are included to support such a claim. > |
