Conner took a graphic design class and learned:

Combining red, green, and blue (RGB) light is the standard method of producing color images on screens. In HTML code, the color red is expressed as a hexadecimal #FF 00 00 or a 24-bit color depth (bit is binary digit), which means the browser is showing only red (FF) with no green (00) and no blue (00).

Now Conner got this question in the Liberal Arts Math class:

Q: What is FF equivalent to in Decimals and what is the equivalent in Binary?

He was so confident in his answers since he already knew the letter F is 1111 from his graphic design class.

Below shows how Conner answered the question, but Conner didn't receive full credit. He argued that he was confident with the solution, and also his numbers were the same as the answer key. (Answer key: 255 and 11111111)

Conner's incorrect answer:

#FF0000 converted to base ten (decimal) is: 255 (Incorrect)

#FF0000 converted to base two (binary) is: 11111111 (Incorrect)

1) Conner didn't show the details of the conversions, but that is not the reason why he lost points. Please explain to him why his answer didn't receive full credit. Note: It is not because he didn't show work. Help Conner correct his mistakes. Please show details of the conversions.

2) Show how to convert 255 to the binary 11111111 using divisions. Please show the detailed steps. Be specific with your answer. If work is done on paper, please attach the image file.

3) Describe how you convert a decimal number (base ten) to another base using divisions. Use your own words to provide an instructional description.