1. A neuromorphic and synaptronic system, comprising: a plurality of electronic neurons; and a crossbar array network configured for interconnecting the plurality of electronic neurons, the crossbar array network comprising: a plurality of crossbar arrays, each crossbar array comprising: a plurality of axons and a plurality of dendrites such that the axons and dendrites are transverse to one another; and multiple synapse devices, wherein each synapse device is at a cross-point junction of the crossbar array coupled between a dendrite and an axon; wherein the crossbar arrays are spatially in a staggered pattern providing a staggered crossbar layout of the synapse devices.