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I suspect this is another of your trick questions and you are waiting for the chance to show us your unrivaled knowledge, but I will play the straight man for you. No. By definition, an SPST switch...
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#1: Initial revision
I suspect this is another of your trick questions and you are waiting for the chance to show us your unrivaled knowledge, but I will play the straight man for you. **No**. By definition, an SPST switch can not act as an SPDT switch in general. If that were possible then there would be no need to manufacture SPDT switches, would there? However, if the trick question really is "Can you use an SPST switch to control two LEDs, so that one goes off and the other goes on when you move the switch, and one of them is always on?" then **sure**, you can envision a circuit that will do this. But that is not causing a SPST switch to "act as a SPDT switch".