A multi-bit digital to analog converter comprising a plurality of unit cells, each providing an electrical signal to a common output at multiple levels in response to a respective control signal and a control system having multiple layers of branch circuits. Each branch circuit comprises a dynamic element matching circuit receiving a plurality of least significant bits of an input code to generate respective output signals to the control system and a plurality of branches, each receiving most significant bits of an input code to the respective layer and having an adder for the most significant bits of the layer's input signal and a respective output from the dynamic element matching circuit. An input signal to the digital to analog converter is input to a first layer as that layer's input code, input codes of the other layers are taken from output signals of preceding layers, and output signals of a last layer may be input to the unit cells as control signals.