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HTML, the markup language of the web, specifies colors using the RGB model. It uses a two-digit hexadecimal (that is, base 16) representation for each component of the vector, and concatenates the three numbers together to form one large, six-digit number. For instance, the HTML color code #80FF3B has red component 80, green component FF, and blue component 3B. In hexadecimal, the digits 0 through 9 have their usual meanings, but the letters A through F also function as digits, and have the meanings 10 through 15, respectively. Because hexadecimal means base 16, a two-digit number such as 3B thus has the meaning 16â‹…3+11=59. The 16 is used because the 3 is in the 16s place, and the 11 is the meaning of the digit B. (If you found this introduction to hexadecimal notation too brief, consult the web for more details.) What is the maximum number representable with two hexadecimal digits?

Sagot :

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

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