Question

Рисунок 10 х 15 см имеет 16 цветов, количество точек на 1 мм = 50. Найдите объем файла в килобайтах и мегабайтах

Answer 1

1) 10 х 15 см, - это 100 х 150 мм. 2) найдём общее количество точек в изображении: (100*50)*(150*50)=5000*7500=37500000. 3) для 16 цветов достаточно 4 бит, т.к. 16=2^4, поэтому: 37500000*4=150000000(бит) /8=18750000(Байт) /1024=18370,5469(Килобайт) /1024=17,8813835(Мегабайт).

Answer 2

Calculating File Size in Kilobytes and Megabytes

To calculate the file size in kilobytes and megabytes, we can use the following formula:

File Size (in bytes) = Width (in cm) x Height (in cm) x Color Depth x (Number of pixels per millimeter)

Given: - Width = 10 cm - Height = 15 cm - Color Depth = 16 colors - Number of pixels per millimeter = 50

Let's calculate the file size in kilobytes and megabytes.

Calculations

First, we need to convert the dimensions from centimeters to millimeters: - Width in mm = 10 cm * 10 mm/cm = 100 mm - Height in mm = 15 cm * 10 mm/cm = 150 mm

Now, we can calculate the total number of pixels: - Total pixels = Width (in mm) * Height (in mm) * Color Depth - Total pixels = 100 mm * 150 mm * 16 colors = 240,000 pixels

Next, we can calculate the file size in bytes: - File Size (in bytes) = Total pixels * (Number of pixels per millimeter) - File Size (in bytes) = 240,000 pixels * 50 pixels/mm = 12,000,000 bytes

Finally, we can convert the file size to kilobytes and megabytes: - File Size (in kilobytes) = File Size (in bytes) / 1024 - File Size (in megabytes) = File Size (in kilobytes) / 1024

Results

- File Size: - In kilobytes: 12,000,000 bytes / 1024 = 11,718.75 KB - In megabytes: 11,718.75 KB / 1024 = 11.45 MB

So, the file size is approximately 11,718.75 kilobytes and 11.45 megabytes.