1. A decoder for decoding a video from a data stream, comprising: a desymbolizer configured to debinarize binarizations of motion vector difference syntax elements to acquire integer values of horizontal and vertical components of motion vector differences, wherein the horizontal and vertical components of motion vector differences are coded using binarizations of the horizontal and vertical components, the binarizations equaling a truncated unary code of the horizontal and vertical components, respectively, within a first interval of a domain of the horizontal and vertical components below a cutoff value, and a combination of a prefix in form of the truncated unary code for the cutoff value and a suffix in form of an Exp-Golomb code of the horizontal and vertical components, respectively, within a second interval of the domain of the horizontal and vertical components inclusive and above the cutoff value, wherein the cutoff value is two and the Exp-Golomb code has order one; and a reconstructor configured to reconstruct the video based on the integer values of the horizontal and vertical components of the motion vector differences.