Show that the first-stage accuracy is the most critical for a 3-bit, 1-bit per stage pipeline ADC by generating a transfer curve and determining DNL and INL for the ADC for two cases: (1) The gain of...

Show that the first-stage accuracy is the most critical for a 3-bit, 1-bit per stage pipeline ADC by generating a transfer curve and determining DNL and INL for the ADC for two cases: (1) The gain of the first-stage residue amplifier set equal to 2.2 V/V and (2) the second-stage residue amplifier set equal to 2.2 V/V. For each case, assume that the remaining components are ideal. Assume that the V_REF
= 5V.