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Yes, that's right.Assuming you want to trigger the circuit only when both PIRs provide their outputs simultaneously
Yes, that did the trick!Here's another possibility
Yes, I found that in simulation. That's one reason I added the Stop buttonIt seems that when the circuit is powered, there is an output even when no PIR sensor is connected
No. It's there to prevent the output of U1d being shorted to ground by the switch.I assume that the 33k resistor between U1c and U1d can be left out with a more heavy duty button?
Not knowing exactly how your PIRs are wired I was warning that there shouldn't be any mains voltage applied to the circuit input. Also it needs to be powered via a battery or wall-wart (which includes a transformer to isolate low voltage outputs from the mains supply).input must be mains-isolated.. what do you actually mean by that?