Question

Which hexadecimal number is equivalent to the decimal number 255 ?

• A. EE
• B. FF
• C. FE
• D. EF

Answer 1

Answer:

B. FF

Conversion Process

• The decimal system uses a base-10 numbering system (digits 0-9), whereas the hexadecimal system uses a base-16 numbering system (digits 0-9 and letters A-F).

• To convert a decimal number to hexadecimal, repeatedly divide the number by 16 and record the remainders.

• For the value 255: Divide 255 by 16. The quotient is 15 and the remainder is 15.

• In the hexadecimal system, the decimal values 10 through 15 are represented by the letters A, B, C, D, E, and F respectively.

• Since the remainder is 15, it corresponds to the hexadecimal digit 'F'. The quotient 15 also corresponds to 'F'.

• Therefore, 255 decimal is equal to FF in hexadecimal.

Key Conversion Reference

1. 0-9: Remain 0-9.

2. 10: A

3. 11: B

4. 12: C

5. 13: D

6. 14: E

7. 15: F

• The decimal number 255 is significant in computing as it is the maximum value that can be represented by a single 8-bit byte (2^8 - 1).

• This value is frequently encountered in networking and digital image processing, such as in RGB color values (0-255).

• When performing conversions, always work from the least significant digit (the remainder of the first division) to the most significant digit (the final quotient).