Based on the provided truth table, which logical function is represented?

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The logical function represented by the truth table is an AND function because the output is true only when all of the inputs are true. In the case of the AND function, it follows the principle that for the output to be 1 (true), both inputs must also be 1 (true). When either input is 0 (false), the output will be 0 (false).

This behavior of the AND function aligns with the conventional truth table where the combinations of inputs (0,0), (0,1), (1,0), and (1,1) yield outputs of 0, 0, 0, and 1, respectively. Understanding this foundational rule is essential in digital logic design, as it defines how circuits behave with multiple inputs.

Other logical functions like OR, XOR, and NAND follow different rules regarding their outputs based on their respective input combinations. The OR function outputs true if at least one input is true, the XOR outputs true only when the inputs are different, and the NAND outputs false only when all inputs are true. These distinct properties clarify why the AND function is the correct representation of the truth table in question.

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