Correct Option: A. 11, 13 and 15 respectively. Explanation of the Answer: The hexadecimal number system is a base-16 numeral system that uses sixteen distinct symbols to represent values. The symbols used in hexadecimal are:

• The digits 0 to 9 represent values zero to nine.
• The letters A to F represent values ten to fifteen.

Here’s how the hexadecimal values correspond to decimal values:

• A in hexadecimal is equal to 10 in decimal.
• B in hexadecimal is equal to 11 in decimal.
• C in hexadecimal is equal to 12 in decimal.
• D in hexadecimal is equal to 13 in decimal.
• E in hexadecimal is equal to 14 in decimal.
• F in hexadecimal is equal to 15 in decimal.

Now, let's specifically look at the values in the question:

• B = 11 (in decimal)
• D = 13 (in decimal)
• F = 15 (in decimal)

Thus, the correct conversion of B, D, and F in hexadecimal to decimal is 11, 13, and 15 respectively. Why Other Options Are Incorrect:

• Option B: 12, 14 and 15 respectively.
• This option incorrectly states that B is 12 and D is 14. As explained, B is 11 and D is 13. Therefore, this option is incorrect.
• Option C: 13, 14 and 15 respectively.
• This option incorrectly states that B is 13 and D is 14. B is 11 and D is 13. Hence, this option is also incorrect.
• Option D: 14, 16 and 17 respectively.
• This option is incorrect because it states that B is 14, which is wrong. B is 11. Additionally, hexadecimal does not have a representation for 16 and 17 in the context of single digits, as it only goes up to F (15 in decimal).

Summary of Key Points:

• The hexadecimal system uses digits 0-9 and letters A-F to represent values.
• B = 11, D = 13, and F = 15 in decimal.
• The correct answer is option A: 11, 13, and 15 respectively.
• Understanding the conversion between hexadecimal and decimal is crucial for working with different numeral systems in computer science.

This thorough understanding will help you in various applications, including programming, data representation, and digital electronics.