The brake system includes a pedal unit through which operations of the brake pedal of the motor vehicle are detected with one or more sensors and desired values of the brake application force are generated according the driver requirement. The system also includes electrically actuated brake actuators at the wheels of the motor vehicle. An electronic central controller evaluates the sensor signals and generates control signals for additional brake functions. Data blocks are exchanged in a predefined cyclically repeating time pattern over a data bus connecting the pedal unit, the brake actuators, and the central controller. Over an additional signal line connecting together the pedal unit, the brake actuators and the central controller, the desired value for the brake application force is transmitted from the pedal unit to the brake actuators and the central controller and data are exchanged concerning the status of the connected devices.