Determine the required amount of video memory for an image of 1024 by 748 pixels, if there are 16 colors in the palette.

To store one point of the image, log2 (16) = 4 bits will be used, since the problem statement says that there are 16 colors in the palette.
Now let’s find the required amount of video memory.
I = 1024 * 748 * 4 bits = 2 ^ 10 * 2 ^ 2 * 748 bits = 2 ^ (10 + 2) * 748 bits = 2 ^ 12 * 748 bits = (2 ^ 12 * 748) / (8 * 1024 ) kbytes = (2 ^ 12 * 748) / (2 ^ 3 * 2 ^ 10) kbytes = (2 ^ 12 * 748) / 2 ^ 13 kbytes = 748/2 kbytes = 374 kbytes.
Answer: I = 374 KB.