Abstract: A computer processor that performs operations in a logarithmic number system (LNS) domain includes an input log converter (20), a feedback log converter (303), a first data pipeline (304), a second data pipeline (306), a plurality of processing elements (26a-f) coupled to respective stages of the data pipelines, an inverse-log converter (28), and a programmable accumulator (232) which produces output signals. An instruction, selected from a set of instructions, is decoded by a control unit (235) to configure the computer processor to perform operations on one or more data streams. Mathematical operations that can be performed by the processor include matrix multiplication, matrix-inversion, fast Fourier transforms (FFT), auto-correlation, cross-correlation, discrete cosine transforms (DCT), polynomial equations, and difference equations in general, such as those used to approximate infinite impulse response (IIR) and finite impulse response (FIR) filters.