Basic NOT gate and its application in fuel level indicator

For the combination shown below, the Boolean expression for Y is:
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For the circuit shown below the Boolean expression for the output is expressed as :
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For the circuit shown below, if a momentary Logic 1 is applied to input A, then the output will be:

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For the circuit shown below, if a momentary Logic 1 is applied to input A, then the output will be:
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The Boolean expression for output Y is:

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