In this article variants of organization of concurrent error detection systems for circuits with six, seven and eight outputs using the Boolean complement method based on «1-out-of-3», «1-out-of-4» and «2-out-of-4» constant-weight codes are considered. Because the length of used codes is less than the number of circuit outputs, they should be divided into groups and each group should be monitored separately. Experiments with MCNC control combinational circuits were carried out using special software. Circuits with six, seven and eight outputs were used. The outputs of circuits were divided into equal groups, each group being monitored by constant-weight code. During the experiments structural redundancies of concurrent error detection systems, constructed using the Boolean complement method based on different constant-weight codes, were obtained. These experiments indicated that «2-out-of-4» constant-weight code provides with the smallest structural redundancy in most cases. Also experiments indicated that the applied method provides with simpler structures than the method of duplication in most cases.