As we know from the school curriculum, to calculate the number of colors that the palette contains, you must use the following formula:
N = 2 ^ i, where N is the number of available colors, and i is, in fact, the color depth.
Let’s determine what value the number of colors will correspond to, what our palette contains, if from the condition of our problem we know for sure that the color depth is 7 bits:
N = 2 ^ 7;
N = 128
That is, our palette contains 128 colors.
Answer: Under these conditions, the palette contains 128 colors.
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