A Level Computer Science OCR Practice Exam

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What is the outcome of X AND ¬X?

True
False
Error
Possible

The correct answer is: False

The expression X AND ¬X represents a logical operation where X is a Boolean variable, and ¬X is its negation (the opposite value of X). In Boolean logic, the AND operation yields true only if both operands are true. The negation operator (¬) produces a value that is the opposite of the original variable. When evaluating X AND ¬X, you consider the two possible values of X: 1. If X is true, then ¬X (the negation of X) is false. Thus, the result of true AND false is false. 2. If X is false, then ¬X is true. Thus, false AND true also results in false. In both scenarios, the outcome is always false. Therefore, regardless of the truth value of X, the expression X AND ¬X will never be true. Hence, the correct outcome of this logical expression is indeed false.