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Papers have already been written. This one implemented posits on an FPGA: https://hal.inria.fr/hal-02131982

The summary:

These architectures are evaluated on recent FPGA hardware and compared to their IEEE-754 counterpart. The standard 32 bits posit adder is found to be twice as large as the corresponding floating-point adder. Posit multiplication requires about 7 times more LUTs and a few more DSPs for a latency which is 2x worst than the IEEE-754 32 bit multiplier.



There are a few FPGA implementations. The posit hub website provides a table with all of them. Each has different trade-offs. The implementation I working on is focused on hardware reuse and high frequency operation.




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