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Magnetic tunnel junction (MTJ) elements based magnetologic promises many advantages over conventional CMOS logic devices. MTJ elements can be configured by simple circuitry to compute various Boolean functions and store the results. Advantages of magnetologic include low power consumption, the possibility of high-speed operation, and high density. We have proposed a novel magnetologic structure comprising a single-layer MTJ and a current driver, which requires fewer processing steps and provides enhanced functional flexibility and uniformity. Here, we expand the computational capabilities of single-layer MTJs, using series connections. An algorithm that realizes complex Boolean functions with fewer magnetologic elements than previous papers is presented.