1. A synapse multiplier circuit, connectable to a first power supply voltage, for multiplying a pulse signal with a weight signal, comprising: a first switch coupled to receive the pulse signal and the weight signal, wherein the pulse signal has a first voltage level to turn off the first switch to block the weight signal and a second voltage level to turn on the first switch to pass the weight signal through the first switch; an integral circuit coupled to the first switch to receive the weight signal that passes through the first switch, wherein the integral circuit has an output that represents an integral of the weight signal that passes through the first switch over a period of time, and wherein the period of time corresponds to a pulse width of the pulse signal; a voltage-to-current (V-I) converter coupled to the integral circuit to convert the output of the integral circuit into an output current signal; and a second switch connectable to a second power supply voltage and a reset signal and coupled to the integral circuit for resetting the synapse multiplier circuit.