The COordinate Rotation DIgital Computer (CORDIC) algorithm is a widely studied and hardware-efficient iterative algorithm for evaluating many arithmetic operations. In this paper, we propose a parallel double step CORDIC algorithm. All rotation directions can be predicted in parallel while two rotations are processed in each iteration. The novel hybrid algorithm achieves much less delay and similar throughput compared with parallel CORDIC algorithm [1]. Based on the new algorithm, we also provide a digital down converter architecture using dual CORDIC processor to eliminate both multiplier and CORDIC scale factor.Index Terms-CORDIC, parallel CORDIC, double step, digital down converter.