Verified Answer :

  • A boolean variable stores one of two logical values representing truth or falsity.
  • In most general-purpose programming languages (such as C++, Java, and JavaScript), these values are represented by the keywords true and false.
  • The representation "false", "true" (Option A) serves as the standard for boolean types in programming.
  • The final answer is \(\boxed{A}\).

Explanation

  1. Understanding Boolean Variables

A boolean variable is a fundamental data type in computer programming that can store one of two logical values: true or false. These values are used to evaluate logical conditions, control program flow (such as in if statements or loops), and represent binary states. While different programming languages may have slight variations in how they capitalize these literals—for example, Python uses True and False, while Java, C++, and JavaScript use true and false—the fundamental concepts remain consistent across the discipline. Therefore, the standard logical values for a boolean variable are "false" and "true".

  1. Analyzing the Options

Let us analyze the provided options to determine the most accurate representation of boolean values.

  • Option A: "false", "true" (Lowercase literals are standard in most modern C-style programming languages).
  • Option B: "F", "T" (These are occasionally used as shorthand but are not standard language keywords).
  • Option C: \(0, 1\) (While 0 and 1 are often used to represent false and true at the hardware or low-level implementation level, they are integers, not boolean type literals in high-level programming).
  • Option D: FALSE, TRUE (These are standard in some specific environments like SQL or legacy languages, but the lowercase convention is more prevalent in general-purpose programming).

Given the options, "false" and "true" represent the most common standard literals for a boolean data type in general-purpose programming contexts. Therefore, Option A is the correct answer.

Examples

Boolean variables are essential for decision-making in software. For example, consider a program designed to manage access to a secured building. The program might define a boolean variable named isAuthorized. If the system scans an ID and verifies it against the database, it sets isAuthorized to true, allowing the door to open. If the ID is not found, isAuthorized is set to false, and the door remains locked. This binary logic is the bedrock of complex algorithms and digital systems.

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