Solution :
It is given that :
The digits 0 through 9 in hexadecimal have their usual meanings. But letters A through F function like the digits and it means digits 10 through 15, respectively.
Now the base of a hexadecimal is 16.
Now we know from 0 to 9 [tex]$\rightarrow$[/tex] A, B, C, D, E, F
Now the maximum two digits hexadecimal numbers are = F F
So, F F [tex]$= 16 \times 15 + 16^0 \times 15$[/tex]
= 255