Systems, apparatuses, and methods for implementing a low power decimator. A decimator may receive a plurality of input samples from a digital microphone. The decimator may include one or more coefficient tables for storing values combining two or more filter coefficients for filtering the received samples. The decimator may utilize a concatenation of multiple samples to perform a lookup of a corresponding coefficient table. The coefficient tables may store only the necessary non-redundant values for all coefficient combinations which can be applied to the multiple samples. The result of the lookup of the coefficient table may have its sign inverted or be zeroed based on the values of the multiple samples.