A digital processor for recovering a source bitstream from an encoded bitstream that has been encoded according to a context adaptive binary arithmetic coding (CABAC) algorithm. The processor includes a first execution unit and a second execution unit. The first execution unit generates first execution data by operating on a first register and a second register, and stores the first execution data in the first register. The first execution data includes a current output bit, a temporary range value and a temporary offset value. The current output bit corresponds to a bit of the source bitstream. The second execution unit generates second execution data by operating on the first register and the second register, and stores the second execution data in the second register. The second execution data includes a normalized range value and a normalized offset value.