Embodiments of the invention relate to a neural network system comprising a single memory block for multiple neurosynaptic core modules. One embodiment comprises a neural network system including a memory array that maintains information for multiple neurosynaptic core modules. Each neurosynaptic core module comprises multiple neurons. The neural network system further comprises at least one logic circuit. Each logic circuit receives neuronal firing events targeting a neurosynaptic core module of the neural network system, and said logic circuit integrates the firing events received based on information maintained in said memory for said neurosynaptic core module.