Decimal equivalent of Hexadecimal number (C3B1)16 is
- A.12197
- B.32097
- C.52097
- D.50097
Correct answer
Explanation
The correct answer is D, 50097. Hexadecimal is base sixteen, so the four places of C3B1 carry the weights 4096, 256, 16 and 1 from left to right, and the letters stand for numbers: A is 10, B is 11, C is 12, D is 13, E is 14 and F is 15. Putting the digits in place gives 12 into 4096, which is 49152, plus 3 into 256, which is 768, plus 11 into 16, which is 176, plus 1, and the four terms add up to 50097. Options A and B are far too small, because any four-digit hexadecimal number beginning with C is at least 12 into 4096, that is 49152, so 12197 and 32097 cannot be right. Option C lies in the right range but would need the second digit to be about 11, not 3, since 52097 minus 49152 is 2945, which is about 11 sixteens of 256. Exam tip: fix the weights 4096, 256, 16 and 1 in mind, and remember A to F mean 10 to 15.
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