By Marshall C. Yovits

Includes long overview articles on laptop aided common sense synthesis for VLSI chips, sensor-driven clever robotics, complicated innovations in dealing with disbursed facts, details stream and keep an eye on among people and desktops and automated vote casting.

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1989) summarizes these reports. The programs listed in these reports have been used in some circles. 1 Permissible Functions First, let us discuss the concept of permissible functions, which is an important concept for efficient processing of the transduction method. 1: If no output function of a network of NOR gates changes by replacing the function realized at a gate (or an input terminal) vi, or a connection cij,with a function g . then function g is called a permissible function for that ui or cij, respectively.

Thus, this calculation is complex and time-consuming. 4. Repeat Steps 2 and 3 until finishing the calculation of MSPFs throughout the network. Let us continue the example in Fig. 11(c), where input variables xl, xz,and x3 are at input terminals u l , u2, and u3, respectively, and then for the input variables x1 = f(ul) = (0 0 0 0 1 1 1 l), x2 = f ( u z ) = (0 0 1 1 0 0 1 l), and x3 = f(u3) = (0, 1 0 1 0 1 0 l), the outputs of gates are f(u4) = (0 1 1 1 0 1 1 l), f(us) = (0 0 0 0 1 0 0 0), f ( u 6 ) = (1 0 0 0 0 0 0 0), and f ( u 7 ) = (1 1 1 1 0 0 0 0).

30). 3 Computational Results of Minimal Networks The implicit-enumeration method can be used to solve our integerprogramming problem. The computer programs ILLIP and ILLIP-2 were developed based on the implicit-enumeration method. The numbers of the variables and the inequalities in the integer-programming formulation of logic design of a minimal NOR gate network are very large. But the number of nonzero coefficients is not large and the majority of these nonzero coefficients are + 1 and -1. Therefore, the storage requirement of these nonzero coefficients is much smaller and the computation with them is much faster than it appears.

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