A data compressor includes a zero-value remover, a zero bit mask generator and a non-zero values packer. The zero-value remover receives 2N bit streams of values and outputs 2N non-zero-value bit streams having zero values removed from each respective bit stream based on a selected granularity of compression for values contained in the bit streams. The zero bit mask generator receives the 2N bit streams of values and generates a zero bit mask corresponding to the selected granularity of compression. Each zero bit mask indicates a location of a zero value based on the selected granularity of compression. The non-zero values packer receives the 2N non-zero-value bit streams and forms at least one first group of packed non-zero values.