We propose a method for reconfigurable logic using a single magnetic tunnel junction (MTJ) as the main computing element in the single-gate architecture. The introduction of the MTJ to reconfigurable computing provides advantages in layout efficiency, power consumption, and the device variation problem. In this study, we present a three-terminal MTJ implemented by two inputs (ampere magnetic field and spin torque-transfer current) acting as a logic element that performs the Boolean logic functions of NAND and NOR with corresponding programmable input values in a fixed architecture. In addition, the reconfigurable functionality is confirmed through demonstration of carry-out computing across the operator built with single-MTJ logic architecture.