Due to the exponential increase of transistor leakage currents, especially in the technologies lower than 90[Formula: see text]nm, the static power consumption has dramatically increased. So, it is regarded as one of the main problems of the CMOS circuits. The spintronic devices, such as magnetic tunnel junction (MTJ), have notable advantages including low-static power consumption, nonvolatility, high endurance, compatibility with the CMOS transistors and the possibility of fabrication in high scales. Hence, the hybrid MTJ/CMOS circuits are considerable options to mitigate the problem of high-static power consumption in CMOS circuits. In this paper, a nonvolatile and low-power hybrid MTJ/CMOS full adder is proposed for implementation of in-memory computing. The drawback of existing full adders is their low-speed and high-power consuming for MTJ switching, which terribly affect the performance of multi-bit adders using these full adders. In this work, a new full adder is designed by eliminating the MTJ and transistor related to the input carry bit and modifying the tree structure of the MTJ network associated with the other inputs. In the proposed full adder, the effect of carry propagation has drastically decreased and its power consumption is also improved.