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The present invention recognizes that for most functional units, there will rarely be both single and double precision operations in the pipeline at the same time. Accordingly, the present invention eliminates logic for checking whether a register designation is single or double precision for these functional units. Instead, a mode indicator is set to indicate whether the outstanding instructions in the pipeline are single or double precision. If a rare change in precision occurs, the instruction will not be dispatched until the pipeline is empty. The data dependency check logic can thus compare the register designations without knowing whether they are single or double precision.