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Q: How many total colors are possible in this scheme assume that 4 bits are to represent the intensities of red green and blue?
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How many different choices of colors are possible if you use 24 bits per pixel?

You can represent a maximum of 2^24 colors in RGB. This equals to 16777216 possible colors.


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You are actually asking how many colors are possible in 8 bit per channel. 8 bit per channel means 256 colors, 1 bit= 2 colors, 2 bits= 4 colors, 3 bits= 8 colors, 4 bits= 16... 8bits= 256 colors. Since we have 3 channels in RGB color mode: Red, Green and Blue that means that we have 3x8= 24 bits per pixel in an image. 3x8 also means 256x256x256 colors possible. Number of possible colors in 8 bit per channel or 24 bits per pixel image is 256x256x256 colors or in particular exact number of possible colors is 16777216.


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