Nuclear spins were among the first physical platforms to be considered for quantum information processing[1, 2], because of their exceptional quantum coherence[3] and atomic-scale footprint. However, the full potential of nuclear spins for quantum computing has not yet been realized, due to the lack of high-fidelity multi-qubit operations, and of pathways to distribute quantum information among nuclei within a scalable device. Here we demonstrate universal quantum logic operations using a pair of ion-implanted 31 P nuclei in a silicon nanoelectronic device. A nu-