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Convert 687 in decimal to base 16?

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Computer Studies NECO 2014

 

Convert 687 in decimal to base 16?  

  • 2AF\(_{16}\) checkmark
  • 3BA\(_{16}\)
  • 4ff\(_{16}\)
  • BB\(_{16}\)
  • CBC\(_{16}\)

The correct answer is: A

Explanation

\(687_{10}\)  to hexadecimal = 

687 divided by 16 is 42 with a remainder of 15 (which corresponds to F in base 16) 42 divided by 16 is 2 with a remainder of 10 (which corresponds to A in base 16) 2 divided by 16 is 0 with a remainder of 2

Reading the remainder from bottom to top, we have: 2AF

Therefore, 687 in base 10 is equal to 2AF in base 16.

 

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