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A key problem for implementing high-performance, high-capacity digital neural networks (DNN) is to design effective VLSI compressors to reduce the impact of carry propagation of large data matrix. In this paper, such a compressor design based on complex complementary pass-transistor logic (C/sup 2/PL) is presented. Some types of 3-2 compressors in C/sup 2/PL are implemented and a number of experiments are conducted to optimize their performance. Two typical building blocks, 4-2 and 7-3 compressors, are developed and their DNN applications are discussed. Compared with the complementary pass-transistor logic (CPL) and the conventional direct logic (CDL), our simulations show that the C/sup 2/PL compressors have the best performance in power, delay and number of transistors.