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In this paper, two new and simple structures of the q-operands multi-operand modular adder have been proposed, which are adapted to realization in the Xilinx FPGA devices. The main purpose of new MOMA designs has been the reduction of hardware complexity of MOMAs by means reduction of a ROM volume. New adders are used in the residue number system converters based on the current-mode gates. This technology allows on further reduction of their hardware complexity in comparison with their prototypes based on the classical CMOS gates.