To store a bitmap with a size of 128×128 pixels, 4 KB of memory were answered.

To store a bitmap with a size of 128×128 pixels, 4 KB of memory were answered. What is the maximum possible number of colors in the image palette.

Converting the total amount of raster memory from KB to bits.

Since 1 KB contains 1024 bytes, and 1 byte contains 8 bits, we get:

4 * 1024 * 8 = 4096 * 8 = 32768 bits.

Find the total number of pixels in the image.

We multiply its sizes among ourselves.

128 * 128 = 16384.

Determine the information volume of one pixel.

Divide the file size by the number of pixels.

32768/16384 = 2.

It follows from this that there are 4 colors in the palette.

N = 2i = 22 = 4.

Answer: There are 4 colors in the image palette.