Computer Science – Data representation | e-Consult
Data representation (1 questions)
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Answer:
The number 255 (decimal) is equal to FF (hexadecimal). Here's the reasoning:
We need to find the largest hexadecimal number that is less than or equal to 255. We can convert 255 to hexadecimal using the same method as in Question 2:
255 / 16 = 15 remainder 15 (F)
15 / 16 = 0 remainder 15 (F)
Reading the remainders in reverse order gives us FF. Therefore, 255 (decimal) = FF (hexadecimal).
Alternatively, we know that hexadecimal uses 16 digits (0-9 and A-F). The largest single hexadecimal digit is F, which represents 15 in decimal. Therefore, the largest two-digit hexadecimal number is FF, which represents (15 x 161) + (15 x 160) = 240 + 15 = 255 in decimal.