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What is the base-16 equivalent of the decimal number 255?

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Question: What is the base-16 equivalent of the decimal number 255?

Options:

  1. FF
  2. FE
  3. F0
  4. F1

Correct Answer: FF

Solution: 

To convert 255 to hexadecimal (base-16), divide by 16. 255 ÷ 16 = 15 remainder 15. The hexadecimal representation of 15 is F, so 255 in base-16 is FF.

What is the base-16 equivalent of the decimal number 255?

Practice Questions

Q1
What is the base-16 equivalent of the decimal number 255?
  1. FF
  2. FE
  3. F0
  4. F1

Questions & Step-by-Step Solutions

What is the base-16 equivalent of the decimal number 255?
  • Step 1: Start with the decimal number 255.
  • Step 2: Divide 255 by 16. This gives you 15 with a remainder.
  • Step 3: Calculate the remainder. 255 ÷ 16 = 15 remainder 15.
  • Step 4: The quotient is 15 and the remainder is also 15.
  • Step 5: In hexadecimal, the number 15 is represented as 'F'.
  • Step 6: Write down the hexadecimal representation of the quotient (15) and the remainder (15).
  • Step 7: Combine the two 'F's to get 'FF'.
  • Step 8: Therefore, the base-16 equivalent of the decimal number 255 is 'FF'.
  • Base Conversion – Understanding how to convert numbers from decimal (base-10) to hexadecimal (base-16) using division and remainders.
  • Hexadecimal Representation – Knowledge of how decimal numbers correspond to hexadecimal digits, particularly the values 10-15 represented as A-F.
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