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This paper points out that register binding in the high-level synthesis stage has a significant impact on the clocking constraints between registers. As a result, different register binding solutions often lead to different smallest feasible clock periods. Based on that observation, we formally draw up the problem of register binding for clock-period minimization. Compared with the left edge algorithm, experimental data show that, in most benchmark circuits, our approach can greatly reduce the clock period without any overhead on the number of registers.