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power saving eeprom
Yea, that will work but only if you separate the processor supply from general board supply with a diode (Schottky of 0.2V drop would be best) to prevent discharging the capacitor supplying PIC by the rest of the circuit. And you should supply the EEPROM from processor...
Re: PIC16F877A Question
This is AC voltage so simple divider will not be enough. You'll need some level shifting as well because the A/D converter in PIC cannot measure voltages below ground (Vss).
Re: Polarized Input Pins
Input stages in microprocessors (and other digital IC's) consume more power when the input voltage is outside of definied digital levels which are close to Vss (ground) or Vdd (supply voltage).
For example, logical 0 may correspond to voltage in the range of 0..0.8V...
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