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What are the three representations for a boolean value?

  1. 1, 2, 3

  2. true, false

  3. t, f

  4. All of the above

The correct answer is: All of the above

The three representations for a boolean value include various formats used within computing and programming. In this context, all options—true/false, t/f, and numerical representations—are valid ways to express boolean values. The true/false representation is the most intuitive and is commonly used across many programming languages to indicate the two possible states of a boolean variable. This format is descriptive and easily understood. The t/f representation offers a shorthand method for conveying boolean values, often encountered in settings where brevity is favored. This is especially prevalent in command-line interfaces or contexts where space is limited. Lastly, the numerical representation (1 and 0) corresponds to boolean values where 1 typically signifies true and 0 signifies false. This format is often used in contexts such as databases, certain programming languages, and binary systems where data is manipulated at a lower level. By acknowledging all these varied representations, it becomes clear how versatile and applicable boolean values are in different programming scenarios. Therefore, the correct choice encompasses all forms—true/false, t/f, and 1/0—reflecting the comprehensive ways to represent boolean values in various coding environments.