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I am not able to understand the concept of how the resistor "pulls up" to 5 volts. How does the resistor pull up the voltage in the digital input pin to 5 volts? I cant seem to understand the logic of switching between ground and 5 volts when on and off and why the pull up resistor wont be required when shuttling between 5V & 12V?
Maybe this will help you:
https://en.wikipedia.org/wiki/Pull-up_resistor
to learn more about electrical engineering in general you might want to start here: