Question

Рисунок, в котором используется 16 различных цветов, занимает в памяти 625 байтов. Определите ширину рисунка, если его высота равна 125 пикселей.

Answer 1

Объем графического файла равен= кол-во пикселей*глубину цвета. подставим в формулу данные:
16 цветов, значит глубина цвета i=4 бита
625*8 бит=125*х пикселей в ширину*4 бит(глубина)
х=625*8/(125*4)= 10  пикселей

Answer 2

Calculating the Width of the Image

To determine the width of the image, we can use the given information that the image uses 16 different colors and occupies 625 bytes in memory, with a height of 125 pixels.

The formula to calculate the size of an image in bytes is: \[ \text{Image Size (in bytes)} = \text{Width} \times \text{Height} \times \text{Color Depth} \]

Where: - Width is the width of the image in pixels. - Height is the height of the image in pixels. - Color Depth is the number of bits used to represent the color of a single pixel.

Given: - Image uses 16 different colors. - Image occupies 625 bytes in memory. - Height of the image is 125 pixels.

We can rearrange the formula to solve for the width: \[ \text{Width} = \frac{\text{Image Size (in bytes)}}{\text{Height} \times \text{Color Depth}} \]

Substitute the given values: \[ \text{Width} = \frac{625}{125 \times \text{Color Depth}} \]

The color depth is not explicitly given, but it can be inferred from the fact that the image uses 16 different colors.

Calculating Color Depth

The color depth can be calculated using the formula: \[ \text{Color Depth} = \frac{\text{Total Number of Colors}}{2} \]

Given: - Total Number of Colors = 16

Substitute the value: \[ \text{Color Depth} = \frac{16}{2} = 8 \]

Calculating the Width

Now, we can calculate the width using the color depth: \[ \text{Width} = \frac{625}{125 \times 8} = \frac{625}{1000} = 6.25 \]

Therefore, the width of the image is 6.25 pixels. Since the width of an image cannot be a fraction of a pixel, it's important to note that the calculated width is not a practical value for an image.

This calculation suggests that the given information may not be consistent or accurate, as an image with a height of 125 pixels and using 16 different colors would likely occupy more than 625 bytes in memory.