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Nowadays industrial monoprocessor and multiprocessor systems make use of hardware floating-point units (FPUs) to provide software acceleration and better precision due to the necessity to compute complex software applications. This paper presents the design of an IEEE-754 compliant FPU, targeted to be used with ARM Cortex-M1 processor on FPGA SoCs. We face the design of an AMBA-based decoupled FPU in order to avoid changing of the Cortex-M1 ARMv6-M architecture and the ARM compiler, but as well to eventually share it among different processors in our Cortex-M1 MPSoC design. Our HW-SW implementation can be easily integrated to enable hardware-assisted floating-point operations transparently from the software application. This work reports synthesis results of our Cortex-M1 SoC architecture, as well as our FPU in Altera and Xilinx FPGAs, which exhibit competitive numbers compared to the equivalent Xilinx FPU IP core. Additionally, single and double precision tests have been performed under different scenarios showing best case speedups between 8.8× and 53.2× depending on the FP operation when are compared to FP software emulation libraries.