Question:
Add the following hexadecimal numbers: \(DF_{16} + AC_{16}\)
Add the following hexadecimal numbers: \(DF_{16} + AC_{16}\)
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Use decimal conversion for hexadecimal arithmetic and reconvert the result to hexadecimal.
Updated On: Dec 29, 2024
- \(AF_{16}\)
- \(7B_{16}\)
- \(18B_{16}\)
- \(BA_{16}\)
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The Correct Option is C
Solution and Explanation
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.
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