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A method for the correction of scale factor of the CORDIC algorithm is presented in this paper. The scheme requires some additional hardware for its implementation, but does not require changing the elementary rotation angles or the sequence of iterations of the standard CORDIC algorithm. Upper bounds for the quantization error when using the proposed method are derived. A word serial implementation of the algorithm is also given. For fixed point arithmetic area and latency of the proposed implementation is compared with the standard CORDIC.