1. A decoder for decoding a video encoded in a data stream, comprising: a desymbolizer configured to debinarize binarizations of horizontal and vertical components of motion vector differences, wherein the video is predictively coded by motion compensated prediction using motion vectors, the horizontal and vertical components of the motion vector differences representing prediction error with respect to the motion vectors, and each of the binarizations of the horizontal and vertical components including a prefix bin string having two fixed-length binary codes based on a cutoff value equal to two, and a suffix bin string having an Exp-Golomb code with a fixed order set to one, wherein a first of the two fixed-length binary codes indicates whether an absolute value of a motion vector difference is greater than zero and a second of the two fixed-length binary codes indicates whether the absolute value of the motion vector difference is greater than one, and the Exp-Golomb code represents the absolute value of the motion vector difference inclusive and above the cutoff value; and a reconstructor configured to reconstruct the video based on the debinarized values of the horizontal and vertical components of the motion vector differences.