On Hard Adders and Carry Chains in FPGAs

Hardened adder and carry logic is widely used in commercial FPGAs to improve the efficiency of arithmetic functions. There are many design choices and complexities associated with such hardening, including circuit design, FPGA architectural choices, and the CAD flow. There has been very little study, however, on these choices and hence we explore a number of possibilities for hard adder design. We also highlight optimizations during front-end elaboration that help ameliorate the restrictions placed on logic synthesis by hardened arithmetic. We show that hard adders and carry chains, when used for simple adders, increase performance by a factor of four or more, but on larger benchmark designs that contain arithmetic, improve overall performance by roughly 15%. We measure an average area increase of 5% for architectures with carry chains but believe that better logic synthesis should reduce this penalty. Interestingly, we show that adding dedicated inter-logic-block carry links or fast carry look-ahead hardened adders result in only minor delay improvements for complete designs.