Question

Add the following hexadecimal numbers: \(DF_{16} + AC_{16}\)

• A. \(AF_{16}\)
• B. \(7B_{16}\)
• C. \(18B_{16}\)
• D. \(BA_{16}\)

Hint:

Use decimal conversion for hexadecimal arithmetic and reconvert the result to hexadecimal.

Answer 1

The Correct Option is C

Convert the hexadecimal numbers to decimal for addition: DF16 = (13 × 16 + 15) = 223, AC16 = (10 × 16 + 12) = 172. Add in decimal: 223 + 172 = 395. Convert back to hexadecimal: 395 ÷ 16 = 24 remainder 11 ⇒ 18B16.