A register file architecture in a general purpose digital signal processor (DSP) supports alignment independent SIMD (Single Instruction/Multiple Data) operations. The register file architecture includes a register pair and an alignment multiplexer. Two 32 bit grouped words may be loaded into the register pair. Each grouped word includes four 8 bit operands. The alignment state of the 32 bit words may be determined by the two least significant bits (LSBs) of the pointer addresses of the grouped words. These LSBs are used to control the alignment MUX to select n operands from the two 32 bit grouped words and output an aligned 32 bit grouped word to execution units for parallel processing.