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add the following hexadecimal numbers df 16 ac 16
Question:
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.
CUET (PG) - 2024
CUET (PG)
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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