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This paper describes a new pulse-based neural network VLSI based on the tunable linear conductance of MOSFET circuit. The controlled conductance produces the synaptic or neuron function, which are inspired by the biological plausibility and low power consumption. The synaptic computation speed is up to maximum pulse frequency. The power consumption is reduced, as active synapses only consume the power. The neuron based on the controlled conductance demonstrates the asynchronous pulse generation with a refractory period, and the behavior of integration-and-firing. The neural network VLSI is fabricated in 0.7 micron CMOS. The experimentation exhibits the behavior of linear controlled conductance, as observed in SPICE simulation.