# A bitmap with a size of 128 * 512 pixels occupies 64 KB. What is the maximum number

A bitmap with a size of 128 * 512 pixels occupies 64 KB. What is the maximum number of colors in the image palette?

The image has a resolution of 128 * 512, which means it contains 65536 pixels.

Let’s convert the file size in kilobytes to bits. Based on the fact that there are eight bits in one byte, and 1024 bytes in one kilobyte:

64 kilobytes = 64 * 10 ^ 24 bytes = 64 * 10 ^ 24 * 8 bits = 524288 bits.

Let’s find the amount of memory that one point occupies. To do this, divide the file size by the number of points:

524288/65536 = 8 bits.

Based on the equation x = 2 ^ n, where x is the number of colors and n is the amount of memory occupied by one point, one point supports 256 colors.

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