Advanced Placement (AP) Computer Science

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In the context of Boolean operators, what is the outcome if the expression contains only false inputs with the AND operator?

The outcome is true
The outcome is false
The outcome is indeterminate
The outcome cannot be evaluated

The correct answer is: The outcome is false

When using the AND operator in a Boolean context, the outcome is true only if all operands are true. If any one of the inputs is false, the result of the AND operation will also be false. Thus, if the expression contains only false inputs, the AND operation evaluates to false. This rule is foundational in Boolean logic: it emphasizes that AND requires all conditions to be satisfied (true) for the entire expression to yield a true result. Since all inputs are false in this case, it leads directly to the conclusion that the outcome is false. Understanding this concept is crucial for reasoning about conditions in programming and logic-based scenarios, as it allows one to predict the results of complex logical statements accurately.