A system for digital signal processing, configured as a system on chip (SoC), combines a microprocessor core and digital signal processor (DSP) core with floating-point data processing capability. The DSP core can perform operations on floating-point data in a complex domain and is capable of producing real and imaginary arithmetic results simultaneously. This capability allows a single-cycle execution of, for example, FFT butterflies, complex domain simultaneous addition and subtraction, complex multiply accumulate (MULACC), and real domain dual multiply-accumulators (MACs). The SoC may be programmed entirely from a microprocessor programming interface, using calls from a DSP library to execute DSP functions. The cores may also be programmed separately. Capability for programming and simulating the entire SoC are provided by a separate programming environment. The SoC may have heterogeneous processing cores in which either processing core may act as master or slave, or both cores may operate simultaneously and independently.