Brake system, method for operating the brake system, and vehicle

A brake system is for the electronically controlled braking of wheels on at least two main axles. The system includes wheel speed sensors on the main axles and on at least one additional axle to output wheel speed signals and two control devices for generating and outputting brake signals. The wheel brakes on the main axles can be controlled according to the brake signals. The sensors on the main axles are connected to the control devices via main data lines such that each control device for each wheel on the main axles, which is assigned a wheel speed sensor, can receive a determined wheel speed via the wheel speed signals. Each wheel speed sensor on at least one additional axle is connected only to one of the control devices via an additional data line. Each control device is connected to at least one of the sensors on the additional axle.