An alternative color scheme to RGB is RGBY where an additional color component (
ID: 3561853 • Letter: A
Question
An alternative color scheme to RGB is RGBY where an additional color component (Yellow) 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 RGBY scheme if 4 bits were used to represent each RGBY component (4 for R, 4 for G, 4 for B, and 4 for Y)?
b. How many different colors could be represented with an RGBY scheme if 11 bits were used to represent each RGBY component (11 for R, 11 for G, 11 for B, and 11 for Y)?
c. Finally, how many different colors could be represented with an RGBY scheme with 3 bits for Red, 5 bits for Green, 6 bits for Blue, and 8 bits for Yellow?
Explanation / Answer
a)
1 bit can give two different values.
That is either 0 or 1.
Similarly 2 bits can give 4 different values
That is 00, 01, 10, and 11.
Hence 4 bit color can give 24 different darkness levels.
Red can give 24 variations.
Green can give 24 variations.
Blue can give 24 variations.
Yellow can give 24 variations.
Hence total number of colors can be made by integrating all the Red, Green, Blue and Yellow is 24*24*24*24
= 24+4+4+4
= 216
= 65536 colors
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b)
11 bit color can give 211 different color variations.
Hence total number of colors can be made by integrating all the Red, Green, Blue and Yellow is 211*211*211*211
= 211+11+11+11
= 244
=1.75*1013 Colors
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c)
3 bit Red gives 23 variations
5 bit Green gives 25 variations
6 bit Blue gives 26 variations
8 bit Yellow gives 28 variations
Hence the totals colors can be represented is
= 23*25*26*28
= 23+5+6+8
= 222
= 4194304 Colors
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