How many bits of video memory are required to encode one pixel of a 2048-color image?

The color coding of the image is as follows: each color is assigned its own code (ie, a unique number of this color is assigned). Therefore, to encode a 2048-color image, the number of bits sufficient to record the decimal number 2048 is required. 2048 = 2 ^ 11, which means that 11 bits of memory are needed for each pixel so that the number of colors it can glow with is equal to 2048. The same result can be obtained in a different way. Numbers from 0 to 2047 give 2048 different values. The maximum number is 2047. The decimal number “2047” is equal to the binary number “111’1111’1111”. Those. it takes 11 bits to create 2048 different numbers.
Answer. 11 bit