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Motion Estimation (ME) is the process of determining the motion vectors that describe the transformation from one 2D image to other, usually from adjacent frames in a video sequence. The process of ME is the critical part of any video coding system as the video quality will be affected if an error has occurred in the ME. In order to test Motion Estimation in a video coding system an Error Detection and Correction Architecture (EDCA) is designed based on the Residue-and-Quotient (RQ) code. Multiple bit errors in the processing element (PE) i.e., key component of a ME, can be detected and the original data can be recovered effectively by using EDCA design. Experimental results indicate that the proposed design can detect multiple bit errors and effectively recover the data with reduced area. The area is reduced from 1665 to 345.