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A synthesis method for multiple-input change asynchronous sequential machines is proposed. The method is based on the self-synchronization principle. The internal states are realized with edge-sensitive flip-flops which are triggered selectively. The new concept of selective triggering or controlled excitation results in considerable saving in logic and more flexible design. The state assignment is arbitrary, and the number of state variables required can be made absolutely minimum. A detailed comparison of the speed of operation is made with one of the well-known methods of realization. It is found that our realization is, in general, as fast, and sometimes could be even faster.