What is the decimal equivalent of the hexadecimal number 0x2DF?

What is the decimal equivalent of the hexadecimal number 0x2DF?

• A. 256
• B. 511
• C. 735
• D. 1000

Answer: (C)

To convert the hexadecimal number 0x2DF into its decimal equivalent, you should understand how the hexadecimal system works. Hexadecimal is a base-16 numbering system, which means each digit represents a power of 16. In the given hexadecimal number 0x2DF: - The digit '2' is in the 256’s place (16^2), so it represents 2 * 256 = 512. - The digit 'D' (which is 13 in decimal) is in the 16’s place (16^1), so it represents 13 * 16 = 208. - The digit 'F' (which is 15 in decimal) is in the 1’s place (16^0), so it represents 15 * 1 = 15. Now, add those values together: 512 (from '2') + 208 (from 'D') + 15 (from 'F') = 735. Thus, the decimal equivalent of the hexadecimal number 0x2DF is 735, which validates that the choice made is correct.

To convert the hexadecimal number 0x2DF into its decimal equivalent, you should understand how the hexadecimal system works. Hexadecimal is a base-16 numbering system, which means each digit represents a power of 16.

In the given hexadecimal number 0x2DF:

• The digit '2' is in the 256’s place (16^2), so it represents 2 * 256 = 512.

• The digit 'D' (which is 13 in decimal) is in the 16’s place (16^1), so it represents 13 * 16 = 208.

• The digit 'F' (which is 15 in decimal) is in the 1’s place (16^0), so it represents 15 * 1 = 15.

Now, add those values together:

512 (from '2') + 208 (from 'D') + 15 (from 'F') = 735.

Thus, the decimal equivalent of the hexadecimal number 0x2DF is 735, which validates that the choice made is correct.