Minimal Path Delay Leading Zero Counters on Xilinx FPGAs

Morse, Gregory and Kozsik, Tamás and Rakyta, Péter (2023) Minimal Path Delay Leading Zero Counters on Xilinx FPGAs. In: Computational Science — ICCS 2023 : 23rd International Conference, 2023.07.03. - 2023.07.05., Prague (Czech Republic).

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Abstract

We present an improved efficiency Leading Zero Counter for Xilinx FPGAs which improves the path delay while maintaining the resource usage, along with generalizing the scheme to variants whose inputs are of any size. We also show how the Ultrascale architecture also allows for better Intellectual Property solutions of certain forms of this circuit with its newly introduced logic elements. We also present a detailed framework that could be the basis for a methodology to measure results of small-scale circuit designs synthesized via high-level synthesis tools. Our result shows that very high frequencies are achievable with our design, especially at sizes where common applications like floating point addition would require them. For 16, 32 and 64-bit, our real-world build results show a 6%, 14% and 19% path delay improvement respectively, enough of an improvement for large scale designs to have the possibility to operate close to the maximum FPGA supported frequency.

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