Address generator and image capturing device

An address generator that generates, in an image capturing device including a photoelectric conversion unit having arrayed therein in a matrix plural photoelectric conversion elements that convert received light into charges and accumulate the charges and a rolling shutter function, an address indicating a line position of each of the photoelectric conversion elements that are processing objects of readout processing and reset processing for accumulated charges includes address counters provided at least in a number same as a number of time divisions of the readout processing and the reset processing, a control unit that independently controls an operation of each of the address counters, a selecting circuit that sequentially selects each of the address counters in a time division manner and outputs a count value of the selected address counter to an address decode circuit as the address, and the address decode circuit that outputs a signal for changing the photoelectric conversion element in a line position corresponding to the address inputted from the selection circuit in a time division manner to an active state.