True or False: A NAND gate can be created by inverting the output of an AND gate, but inverting the inputs to an AND gate is not equivalent.

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A NAND gate can indeed be created by inverting the output of an AND gate. This operation reflects the fundamental characteristic of a NAND gate: it outputs false only when all its inputs are true. By taking the output of an AND gate (which outputs true when all inputs are true) and applying an inverter, the output will be false in that same scenario—effectively achieving the desired NAND functionality.

In contrast, inverting the inputs to an AND gate results in a different operation known as a NOR gate when those inverted inputs then feed into another gate. The output will not match the behavior of a NAND gate. Therefore, while the output of a NAND gate can be derived from inverting an AND gate's output, inverting the inputs does not yield the same logical function as the NAND configuration. This distinction reinforces the importance of understanding how gate operations interact with logical inversions.

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