2048 bytes of memory were allocated to store a bitmap with a size of 16 by 64 pixels. What is the maximum possible

| August 3, 2021 | education

2048 bytes of memory were allocated to store a bitmap with a size of 16 by 64 pixels. What is the maximum possible number of colors in the image palette? In the answer, write down the number in KB.

1) Determine the total number of pixels used: 16 * 64 = 1024 (pixels) in total.
2) Let’s find how many bytes of memory are allocated for one pixel: 2048: 1024 = 2 (bytes) are allocated for one pixel.
3) In two bytes, you can write hexadecimal numbers from “0” to “FFFF”.
4) Hexadecimal number “FFFF” is equal to decimal 65’535: \ xFFFF = 65’535, where “\ x” is a hexadecimal number prefix.
5) It turns out that in two bytes you can store decimal numbers from “0” to “65’535”, and the total number of different values is: 65’535 + 1 = 65’536
Those. in two bytes it is possible to encode 65’536 colors of the image palette.



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