The Boolean expression for a NOT gate with input A is:

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The question asks: The Boolean expression for a NOT gate with input A is:

Option a: 'A⋅0' multiplies A by 0, which always yields 0 regardless of A. This represents a constant 0 output, not a NOT operation, so it does not match a NOT gate.

Option b: 'A+1' is A OR 1. In Boolean algebra, anything ORed with 1 yields 1, giving a constant 1 output. This is the opposite of a NOT function and therefore incorrect for a NOT gate.

Option c: 'A'' (A complemented) is the standard notation for NOT A. It inverts the input value: if A is 0, A' is 1; if A is 1, A' is 0. This is exactly the behavior of a NOT gate.

Option d: 'A' simply repeats the input A without inversion. This represents a buffer, not a NOT gate, so it does not produce the inverted output required.

In summary, of the given options, only the expression that inverts A matches the NOT gate behavior, while the others describe constant outputs or non-inverting devices. The correct interpretation aligns with A' representing logical negation of A.

System Software and Computing Concepts (102025-ABB) Tutorial 3: Digital Logic Circuits

The Boolean expression for a NOT gate with input A is:

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