The size of the image in the computer memory is 4 MB. Find the number of colors in the palette

The size of the image in the computer memory is 4 MB. Find the number of colors in the palette if the image size is 256 * 512.

To solve this problem, you first need to determine the number of pixels in the image.

To do this, we multiply the indicated sizes among ourselves.

Will be:

256 * 512 = 131072.

We translate the information volume of the image from MB to bits.

4 * 1024 * 1024 * 8 = 33554432 bits.

Find the information volume of one pixel in the image.

Divide the size of the image by the number of pixels.

33554432/131072 = 256.

Find the number of colors in the palette.

N = 2 ^ 256

Answer: The palette contains 2 ^ 256 colors.