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This is a simplified version of my circuit to allow a single-sided ADC (such as on an Arduino) to read signals that are both positive and negative, and that are beyond their supply range. This version, instead of artificially increasing the supply voltage to the point that the incoming signal can be manipulated directly, uses a voltage divider to apply sub-unity gain to the incoming signal so it fits within the supply voltage and headroom of your ADC and op-amps. This sacrifices accuracy of the signal by introducing noise, but 99% of the time you want to do this it's probably going to be fine.
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