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There is increasing interest about floating-point arithmetics in field programmable gate arrays (FPGAs) because of the increase in their size and performance. FPGAs are generally good at bit manipulations and fixed-point arithmetics, but they have a harder time coping with floating-point arithmetics. An architecture used to construct high-performance floating-point components in a Virtex-4 FPGA is described in detail. Floating-point adder/subtracter and multiplier units have been constructed. The adder/subtracter can operate at a frequency of 377 MHz in a Virtex-4SX35 (speed grade -12).