A neural network device having a first plurality of synapses that includes a plurality of memory cells. Each memory cell includes a floating gate over a first portion of a channel region and a first gate over a second portion of the channel region. The memory cells are arranged in rows and columns. A plurality of first lines each electrically connect together the first gates in one of the memory cell rows, a plurality of second lines each electrically connect together the source regions in one of the memory cell rows, and a plurality of third lines each electrically connect together the drain regions in one of the memory cell columns. The first plurality of synapses receives a first plurality of inputs as electrical voltages on the plurality of third lines, and provides a first plurality of outputs as electrical currents on the plurality of second lines.