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.
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