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Various applications have demonstrated that asynchronous circuits have great potential for energy-efficient and high-performance design. One of the primitives used in asynchronous control circuits is the C-element. Analytical delay and energy models are presented and applied to the most popular complementary metal-oxide-semiconductor (CMOS) implementations of the C-element. Optimization of these implementations are discussed. The implementations are also compared using simulations. The simulation results are in good agreement with the analytical predictions.