For the sake of simplicity, the tri

For the sake of simplicity, the trigonomet opera- tions in the CORDIC computer can be functionally de- scribed as the digital equivalent of an analog resolver. Similar to the operation of such a resolver there are two computing modes, ROTATION and VECTORING. In the ROTATION mode, the coordinate components of a vector and an angle of rotation are given and the co- ordinate components of the original vector, after rota- tion through the given angle, are computed. In the second mode, VECTORING, the coordinate compo- nents of a vector are given and the magnitude and angular argument of the original vector are computed. Similarly, as in the case of resolvers, the computing de- vice of ROTATION plus feedback is employed in the VECTORING mode. The original coordinates are ro- tated until the angular argument is zero, so that the total amount of rotation required is the negative of the orig- inal argument, in which case the value of the X-com- ponent is equal to the magnitude of the original vector. In essence, the basic computing technique used in both the ROTATION and VECTORIN modes in CORDIC is a step-by-step sequence of pseudo rotations which result in an over-all rotation through a given angle (ROTATION) or result in a final angular argument of zero (VECTORING).