Pipeline Analog to Digital Converter

adcanalog

I was studying for my Design of Analog Circuits course and I have two questions about this ADC. If someone can explain me why in the figure below in the Pipeline Analog to Digital Converter, why Vin is compared with Vref/2 instead of Vref and why after doing the summation, the result is multiplied by a gain of 2? What does that has to be with functionality of the ADC.

Pipeline ADC

Best Answer

The comparison with vref/2 is because that is the place-value of the MSB of the ADC output.

the next bit has a value of 1/4 vref, so the difference value is doubled before comparison with vref/2