. The R&D group is testing an alternative color scheme to RGB labeled RGBO where an additional color component (Orange) is added to the traditional Red, Green, and Blue components in order to specify a unique color.
a. How many different colors could be represented with an RGBO scheme if 7 bits were used to represent each RGBO component (7 for R, 7 for G, 7 for B, and 7 for O)?
b. How many different colors could be represented with an RGBO scheme if 8 bits were used to represent each RGBO component (8 for R, 8 for G, 8 for B, and 8 for O)?
c. Finally, how many different colors could be represented with an RGBO scheme with 4 bits for Red, 8 bits for Green, 9 bits for Blue, and 10 bits for Orange?

Question

25-01-2018
Computers and Technology

contestada

. The R&D group is testing an alternative color scheme to RGB labeled RGBO where an additional color component (Orange) is added to the traditional Red, Green, and Blue components in order to specify a unique color.
a. How many different colors could be represented with an RGBO scheme if 7 bits were used to represent each RGBO component (7 for R, 7 for G, 7 for B, and 7 for O)?
b. How many different colors could be represented with an RGBO scheme if 8 bits were used to represent each RGBO component (8 for R, 8 for G, 8 for B, and 8 for O)?
c. Finally, how many different colors could be represented with an RGBO scheme with 4 bits for Red, 8 bits for Green, 9 bits for Blue, and 10 bits for Orange?

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The answer to "a" is there would be 2401 different color schemes if 7 bits were used to represent each RGBO component. The answer to "b" is there would be 4096 different color schemes if 8 bits were used to represent each RGBO component. The answer to "c" is there would be 2880 different color schemes if there was variation in the number of bits per component. This is calculated by multiplying the numbers for each color in the RBGO scheme.