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A knowledge-based inference system for weightless neural networks (WNNs) is described in this paper. With the use such a system, rules can be inserted and extracted into/from WNNs. The process of rule insertion and rule extraction in WNNs is often more natural than in other neural network models. The system proposed allows the understanding on how the neural networks reach the solution to a problem. A straightforward application of the system is the design of expert systems and data mining techniques.