A multiplying analog to digital converter including an analog to digital converter (ADC) having a sample input and a feedback input and an ADC output configured with a feedback path configured to couple the ADC output to a digital to analog converter. A feedback attenuator is disposed in the feedback path, the feedback attenuator being configured to attenuate a feedback signal coupled to the feedback input, the feedback attenuator being configured to provide analog multiplication observed at the ADC output. A barrel shifter is configured to provide digital multiplication of the ADC output. The feedback attenuator may be configured as a divider network. The feedback attenuator may be configured to provide attenuation using only passive components. The feedback attenuator may be configured as a capacitive divider network. The feedback attenuator may be configured to provide attenuation ranging between 1 and 0.5.