Which operation does the expression for an AND gate represent?

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The expression for an AND gate represents logical multiplication, which is the correct answer. In digital logic, an AND gate produces an output of true (or 1) only when all of its inputs are true (or 1). This behavior can be likened to multiplication in arithmetic, where the product is non-zero only when all multiplicands are non-zero.

In a binary context, if you consider true as equivalent to 1 and false to 0, then the AND operation follows these principles:

  • 1 AND 1 = 1 (true * true = true)

  • 1 AND 0 = 0 (true * false = false)

  • 0 AND 1 = 0 (false * true = false)

  • 0 AND 0 = 0 (false * false = false)

This operation effectively mirrors multiplication rules, where the output is true only if each input is also true. Hence, it is categorized as logical multiplication.

The other choices represent different logical operations. Logical addition, often associated with the OR operation, combines inputs and results in true if at least one input is true, whereas logical negation inverts the value of a single input. Logical disjunction also refers to the OR operation, where

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