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tDepends on the micro. Some can save to EEPROM. That's why i though about pots in the first place. Pots are non-volatile. We need an A2D to read from thermistor anyway, so perhaps using 3 channels A2D. One port for the defrost heater and one more for the compressor. One more set of decoder/LEDs for temp. settling. So, to do all the fridge control:
PIC32MX256DA206 (using 11 digital ports and 3 analog ports)
100K Pots (x3) 74XXX138 (x3) LED (x24) Thermistor 240V/5A AC relay (x2) etc.