A brake system comprises a reservoir; a brake pedal; a master cylinder including a first master chamber, a second master chamber, a first master piston, and a second master piston; a first hydraulic circuit including at least one first hydraulic wheel brake; a second hydraulic circuit including at least one second hydraulic wheel brake; and a hydraulic pressure supplier including an actuator for pressurizing the first hydraulic circuit and the second hydraulic circuit depending on an operation of the brake pedal in a normal operating mode. The master cylinder further comprises a locking chamber and an elastic pedal feel element arranged in the first master chamber to be in contact with the first master piston and the second master piston for generating a pedal force when the brake pedal is operated while the second master piston is locked in the normal operating mode.