A symmetric filter arithmetic apparatus includes a first data shuffling unit which reads a first data string that is a plurality of consecutive pieces of data from a register file and extract, from the first data string, a left-side data string that is a plurality of consecutive pieces of data to be multiplied by a left-side filter coefficient that is a filter coefficient on a left side of a center of the coefficients, and a second data shuffling unit which reads a second data string that is a plurality of consecutive pieces of data from the register file and extract, from the second data string, a right-side data string that is a plurality of consecutive pieces of data to be multiplied by a right-side filter coefficient that is a filter coefficient on a right side of the center and is the same value as the left-side filter coefficient.