In recent years, the Exp-Golomb coding, a form of variable length coding (VLC), has gained greater attention due to its important uses in the emerging JVT (also called H.264 in ITU, and AVC in MPEG-4) and AVS (self-developed Chinese audio video standard). In this paper, the Ex-Golomb encoder and decoder architectures for JVT and AVS are proposed for the first time. To solve the key problem associated with determining the code length in the Exp-Golomb encoding and decoding, we use an approach called 'the first 1 detect method' that can greatly simplify the architectures. The areas of the encoder and decoder proposed are 2048 and 3210 gates respectively, which are pretty small. The critical path delays in both architectures are less than 6ns. Therefore, these designs can meet the requirement of high speed for the encoding and decoding in real time.