A superconducting neuromorphic pipelined processor core can be used to build neural networks in hardware by providing the functionality of somas, axons, dendrites and synaptic connections. Each instance of the superconducting neuromorphic pipelined processor core can implement a programmable and scalable model of one or more biological neurons in superconducting hardware that is more efficient and biologically suggestive than existing designs. This core can be used to build a wide variety of large-scale neural networks in hardware. The biologically suggestive operation of the neuron core provides additional capabilities to the network that are difficult to implement in software-based neural networks and would be impractical using room-temperature semiconductor electronics. The superconductive electronics that make up the core enable it to perform more operations per second per watt than is possible in comparable state-of-the-art semiconductor-based designs.