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This paper deals with power minimization problem for data-dominated applications based on a novel concept called partially guarded computation. We divide a functional unit into two parts: MSP (Most Significant Part) and LSP (Least Significant Part) and allow the functional unit to perform only the LSP computation if the range of output data can be covered by LSP. We dynamically disable MSP computation to remove unnecessary transitions thereby reducing power consumption. We also propose a systematic approach for determining optimal location of the boundary between the two parts during high-level synthesis. Experimental results show about 10∼44% power reduction with about 30∼36% area overhead and less than 3% delay overhead in functional units.