An apparatus for decoding a video, the apparatus comprising: a receiver which is configured to receive a bitstream including information about a last significant coefficient location of a transformation block; an arithmetic decoder which is configured to perform context-based arithmetic decoding on a prefix bitstring of the last significant coefficient location among the information about the last significant coefficient location, and, when the prefix bitstring is greater than a predetermined value, perform a bypass mode arithmetic decoding on a suffix bitstring of the last significant coefficient location among the information about the last significant coefficient location; an inverse-binarizer which is configured to perform inverse binarization on the prefix bitstring according to truncated binarization scheme to obtain an inverse-binarized prefix, and perform inverse binarization on the suffix bitstring according to fixed-length binarization scheme to obtain an inverse-binarized suffix; and a symbol reconstructor which is configured to reconstruct a symbol indicating a last significant coefficient location of the transformation block by using the inverse-binarized prefix and the inverse-binarized suffix, wherein the context-based arithmetic decoding of the prefix bit string is performed by using a context index determined based on a size of the transformation block and a location of a bit of the prefix bit string, wherein the last significant coefficient location of the current transformation block is reconstructed by combining the inverse-binarized prefix and the inverse-binarized suffix, and wherein the reconstructed last significant coefficient location indicates one of information about a x coordinate of the last significant coefficient location in a direction of widths of the current transformation block and information about a y coordinate of the last significant coefficient location in a direction of heights of the current transformation block, wherein the predetermined value is classification point between the prefix bitstring and the suffix bitstring, wherein the inverse-binarized suffix is a remaining value of a symbol indicating the last significant coefficient location of the transformation block after the inverse-binarized prefix is excluded from the symbol. a receiver which is configured to receive a bitstream including information about a last significant coefficient location of a transformation block; an arithmetic decoder which is configured to perform context-based arithmetic decoding on a prefix bitstring of the last significant coefficient location among the information about the last significant coefficient location, and, when the prefix bitstring is greater than a predetermined value, perform a bypass mode arithmetic decoding on a suffix bitstring of the last significant coefficient location among the information about the last significant coefficient location; an inverse-binarizer which is configured to perform inverse binarization on the prefix bitstring according to truncated binarization scheme to obtain an inverse-binarized prefix, and perform inverse binarization on the suffix bitstring according to fixed-length binarization scheme to obtain an inverse-binarized suffix; and a symbol reconstructor which is configured to reconstruct a symbol indicating a last significant coefficient location of the transformation block by using the inverse-binarized prefix and the inverse-binarized suffix, wherein the context-based arithmetic decoding of the prefix bit string is performed by using a context index determined based on a size of the transformation block and a location of a bit of the prefix bit string, wherein the last significant coefficient location of the current transformation block is reconstructed by combining the inverse-binarized prefix and the inverse-binarized suffix, and wherein the reconstructed last significant coefficient location indicates one of information about a x coordinate of the last significant coefficient location in a direction of widths of the current transformation block and information about a y coordinate of the last significant coefficient location in a direction of heights of the current transformation block, wherein the predetermined value is classification point between the prefix bitstring and the suffix bitstring, wherein the inverse-binarized suffix is a remaining value of a symbol indicating the last significant coefficient location of the transformation block after the inverse-binarized prefix is excluded from the symbol.