Magnetic field sensors and sensing methods are provided. A magnetic sensor includes at least one magnetic field sensor element configured to generate an analog input sensor signal in response to a magnetic field, an inverting amplifier configured to generate an analog output sensor signal having a gained value with respect to the analog input sensor signal, a programmable current divider disposed in a negative feedback path of the inverting amplifier such that the gained value is dependent on an effective feedback resistor value of the programmable current divider, and a digital controller configured to receive at least one measurement parameter, generate a codeword based on the at least one measurement parameter, and transmit the codeword to the programmable current divider for compensating the gained value. The effective feedback resistor value is adjusted based on the codeword received by the programmable current divider.