Reducing power consumption in microprocessors for the processing of common values. Common values provided in at least one received operation are encoded into encoded common values having a lower number of bits than the common values prior to encoding. In one aspect, a separate encoding bus is used to provide the encoded common values in various processing of additional received operations in the microprocessor instead of a full-bit bus of the microprocessor, the encoding bus having less bits than the full-bit bus. In another aspect, a result of the operation is predicted based on at least one encoded common value and execution of the operation is bypassed.