Abstract: In order to improve the speed of computing systems effectively, on the basis of relationship operating, the algorithm of logic relationship of true value for two-dimensional simplified on two layers is put forpard in the paper.The algorithm is that:Variables is defined as tuples (rows) and each domain of variables is defined as attribute (columns),and it's a relationship table of true value.According to the requirement of the formula or subroutine operations on the table for corresponding relationship,the conceptual model is given out. The model is programmed for VHDL and configurated to firmware through FPGA technology, especially the ISP. The formula or the subroutine directly are performed by firmware.The true value of function directly is produced by the firmware with the true value of variables, the function running speed can be greatly improved. The experiments show that it is efficient.