A current sensor chip includes a first magnetic field sensor element and a second magnetic field sensor element respectfully configured to generate a first analog sensor signal and a second analog sensor signal responsive to a magnetic field caused by a primary current passing through an external primary conductor; an analog-to-digital converter coupled to the second magnetic field sensor element and configured to generate a digital sensor signal based on the second analog sensor signal; a digital signal processor coupled to the analog-to-digital converter to receive the digital sensor signal and configured to determine, based on the digital sensor signal and calibration parameters stored in a memory, a corresponding current measurement signal, which represents the primary current; and an external output pin coupled to the first magnetic field sensor element to receive the first analog sensor signal or an analog signal derived therefrom by analog signal processing.