The present disclosure discloses a full adder based on resistive-switching devices and an operation method thereof. A multi-bit full adder circuit is constituted by using a cross-bar array of resistive-switching devices, wherein data of standard sums is stored on the principle diagonal of the cross-bar array in a nonvolatile manner, and carry data is stored in adjacent units on both sides of the principle diagonal. The carry data is stored according to whether the storage loop (crosstalk loop) is turned on. With the present disclosure, the multi-bit full adder circuit is significantly simplified. Thereby, additional circuits for generating a carry signal are reduced, the circuit delay and chip area are decreased, and the adder has an ability of nonvolatile storage.

Techniques are disclosed relating to integrated circuits that support matrix operations. In various embodiments, an integrated circuit comprises a dot product accumulate circuit that includes a dot product circuit configured to determine a dot product of a first vector and a second vector, and an adder circuit coupled to an output of the dot product circuit and configured to add a result of the dot product and an accumulation value. The integrated circuit further includes an accumulator cache coupled to an input of the adder circuit and an output of the adder circuit. The accumulator cache is configured to provide the accumulation value to the adder circuit and store a result of the add as a subsequent accumulation value for a subsequent dot product accumulate operation.