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NOT GATE Analog Circuit

How do I construct an analog circuit of a NOT GATE? I know how to construct a digital circuit using transistor and other things but the analog circuit is a bit tricky. I have also attached the required circuit diagram along with this post. I just don't understand how to practicalise the circuit. Please help.
 

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Welcome to EP.
Logic operations are by nature digital.

Using a transistor ,which is an analog device by nature to create a NOT(invert) gate
is already an analog implementation.
 
Your sketch shows a battery powering a light bulb and a switch that shorts the battery to make lots of smoke. Why?

What do you want a NOT gate to do? It is simply a logic inverter, a high input produces a low output and a low input produces a high output. You can make an oscillator with two NOT gates if you want.
 
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