Convert the hexadecimal value 0x2DF to decimal.

Convert the hexadecimal value 0x2DF to decimal.

• A. 735
• B. 733
• C. 745
• D. 720

Answer: (A)

Converting a hex value to decimal uses base-16 positional weights. Each digit represents a power of 16: the leftmost digit is in the 16^2 place, the middle in 16^1, and the rightmost in 16^0. For 0x2DF, the digits are 2, D, F. Compute the contributions: 2 × 256 = 512, D is 13 so 13 × 16 = 208, and F is 15. Add them up: 512 + 208 + 15 = 735. So the decimal value is 735. If you swap the last digit to D, you’d get 512 + 208 + 13 = 733. If the last digit were 0, you’d get 512 + 208 + 0 = 720. A value like 745 would require a last digit of 25 decimal, which isn’t a valid hex digit (hex digits only go from 0 to 15), so that option doesn’t fit.

Converting a hex value to decimal uses base-16 positional weights. Each digit represents a power of 16: the leftmost digit is in the 16^2 place, the middle in 16^1, and the rightmost in 16^0. For 0x2DF, the digits are 2, D, F. Compute the contributions: 2 × 256 = 512, D is 13 so 13 × 16 = 208, and F is 15. Add them up: 512 + 208 + 15 = 735. So the decimal value is 735.

If you swap the last digit to D, you’d get 512 + 208 + 13 = 733. If the last digit were 0, you’d get 512 + 208 + 0 = 720. A value like 745 would require a last digit of 25 decimal, which isn’t a valid hex digit (hex digits only go from 0 to 15), so that option doesn’t fit.