Question

Рисунок размером 512 на 384 пикселей занимает в памяти 168 Кбайт (без учёта сжатия). Найдите максимально возможное количество цветов в палитре изображения.

Answer 1

[512, 384, 168]
Глубина цвета = 168 Кбайт / (512 * 384 пикселей) = 168 * 8 * 1024 бит / 196608 пикселей = 1376256 бит / 196608 пикселей = 7.0 бит
Кол-во цветов = 2^7.0 бит = 128.0 цветов

Answer 2

Calculating Maximum Possible Colors in Image Palette

To calculate the maximum possible number of colors in the palette of an image, we can use the formula:

Maximum Colors = 2^B

Where B is the number of bits used to represent each pixel color.

Given Information

The given image size is 512 x 384 pixels, and it occupies 168 KB in memory without considering compression.

Calculation

First, we need to find the number of bits used to represent each pixel color. We can use the given memory size to calculate this.

Given memory size = 168 KB = 168 * 1024 bytes = 172032 bytes

We can use the formula: Memory Size = Image Width * Image Height * B / 8

Solving for B: B = (Memory Size * 8) / (Image Width * Image Height)

Substituting the given values: B = (172032 * 8) / (512 * 384) = 8

Now that we have the number of bits used to represent each pixel color (B = 8), we can calculate the maximum possible number of colors in the palette using the formula: Maximum Colors = 2^8 = 256

Conclusion

Therefore, the maximum possible number of colors in the palette of the given image is 256.