Question

Расчитайте объем видеопамяти, если K=1024×768, N=6777216.Буду очень благодарна, если к решению вы приложете использованные расчетные формулы с расшифровкой!

Answer 1

Объём видеопамяти рассчитывается, как произведение ширины на высоту и на глубину цвета:
V = w*h * i, где w - ширина; h - высота; i - глубина цвета.
Чтобы найти глубину цвета необходимо знать максимальное количество цветов в рисунке (в данном случае - 6777216, я полагаю)
$2^{i}$ = M; где М - макс. кол-во цветов
После нахождения i становятся известны все переменные и остаётся только посчитать: 1024*768*i

Answer 2

Calculating Video Memory Volume

To calculate the volume of video memory, we need to know the resolution and the number of pixels.

Given: - Resolution (K): 1024x768 - Number of pixels (N): 6777216

To calculate the video memory volume, we can use the following formula:

Video Memory Volume = Resolution x Number of Pixels x Color Depth

Let's break down the formula and calculate the video memory volume step by step.

1. Resolution (K): 1024x768 - The resolution represents the number of pixels in the horizontal and vertical directions. In this case, the resolution is 1024 pixels wide and 768 pixels high.

2. Number of pixels (N): 6777216 - The number of pixels is the total count of individual picture elements in the image. In this case, there are 6,777,216 pixels.

3. Color Depth: - The color depth determines the number of colors that can be displayed for each pixel. It is usually measured in bits per pixel (bpp). Common color depths include 8-bit (256 colors), 16-bit (65,536 colors), 24-bit (16.7 million colors), and 32-bit (16.7 million colors with an additional alpha channel for transparency).

Since the color depth is not provided in the question, we cannot calculate the exact video memory volume without this information. However, we can provide an example calculation using a common color depth.

Example Calculation: Let's assume a color depth of 24-bit (16.7 million colors).

Video Memory Volume = Resolution x Number of Pixels x Color Depth = 1024 x 768 x 24 bits

To convert the result to a more common unit, we can divide it by 8 to get the volume in bytes:

Video Memory Volume (bytes) = (1024 x 768 x 24) / 8

Now, let's calculate the video memory volume using the given values:

Video Memory Volume (bytes) = (1024 x 768 x 24) / 8 = 18,874,368 bytes

Please note that this calculation assumes a color depth of 24 bits. If you have a different color depth in mind, please provide that information so we can calculate the video memory volume accordingly.

I hope this helps! Let me know if you have any further questions.