Question

Определите сколько фотографий поместится на носителе в 256 мегабайт, если размер изображения равен 1024×768 пикселей. Цвет одного пикселя кодируется 3 байтами.

Answer 1

I = 3(байта) = 3*8 = 24(бит)
1) 256(мегабайт) = 2^23 = 2 147 483 648(бит)
2) 1024 * 768 * 24 = 18 874 368
3) 2 147 483 648 / 18 874 368 = 113,7

Ответ: 113 фотографий

Answer 2

Calculating the Number of Photos in 256 Megabytes

To determine how many photos can fit on a 256-megabyte storage device, we need to consider the size of each photo and the amount of storage space available.

The size of each photo can be calculated using the given dimensions and color encoding information.

Size of Each Photo: The size of each photo in bytes can be calculated using the formula: \[ \text{Size} = \text{Width} \times \text{Height} \times \text{Color Depth} \]

Given: - Width: 1024 pixels - Height: 768 pixels - Color Depth: 3 bytes per pixel

Using the above information, we can calculate the size of each photo in bytes.

\[ \text{Size} = 1024 \times 768 \times 3 \]

\[ \text{Size} = 2359296 \text{ bytes} \]

Calculating the Number of Photos

Now, we can calculate the number of photos that can fit in 256 megabytes.

Converting Megabytes to Bytes: 1 megabyte (MB) = \( 1024 \times 1024 \) bytes

\[ 256 \text{ MB} = 256 \times 1024 \times 1024 \text{ bytes} \]

\[ 256 \text{ MB} = 268435456 \text{ bytes} \]

Number of Photos: To find the number of photos that can fit in 256 megabytes, we divide the total storage space by the size of each photo.

\[ \text{Number of Photos} = \frac{256 \times 1024 \times 1024}{2359296} \]

\[ \text{Number of Photos} \approx 114 \]

Conclusion: Approximately 114 photos can fit on a 256-megabyte storage device, given the dimensions of 1024×768 pixels and a color depth of 3 bytes per pixel.

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