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This paper proposes a full adder with minimum power consumption and lowloss with a central frequency of 1550nm using plasmonic Metal-Insulator-Metal (MIM)waveguide structure and rectangular cavity resonator. This full adder operates based onXOR and AND logic gates. In this full adder, the resonant wave composition of the firstand second modes has been used and we have obtained a high transmission coefficientin the states in which the output must be active. This full adder uses the AND and XORlogic gates to be designed with three inputs, which results in the design of a full adderwith lower complexity, lower cost and fewer losses than Other full adders in whichAND and XOR logic gates are combined to be designed with two inputs. The relatedsimulations were performed by FDTD. The obtained results presented a performancesimilar to the predicted models, while considering approximations with theoreticalrelations.