计算含无关项布尔c-导数的K图方法

摘要

To simplify the process for calculating c‐derivative of Boolean function with don't‐care‐terms in the Boole‐an logic algebra system based on AND‐OR‐NOT operation ,the K‐map method for calculating the first and second‐order c‐derivative of Boolean function with don't‐care‐terms is proposed according to the definition of c‐derivative . The c‐derivative is calculated by folding the square corresponds of the K‐map ,and then conducts OR operation .The application results show that the presented method is simple and convenient for operation .The simplest AND/OR expansion of c‐derivative of Boolean function with don't‐care‐terms can also be obtained from K‐map .%为简化与‐或‐非代数系统中含无关项逻辑函数布尔c‐导数的计算过程，从逻辑函数布尔c‐导数的定义出发，提出了计算含无关项一阶布尔c‐导数和二阶布尔c‐导数的K图方法。该方法通过折叠映射K图中的填入格值，并对相应格值进行“或”运算以计算含无关项布尔c‐导数。应用实例表明，该方法直观有效，且能直接得到布尔c‐导数的最简与／或式。