Question

Файл размером 16 Кбайт передаётся через некоторое соединение со скоростью 2048 бит в секунду.Определите размер файла(в байтах),который можно передать за то же самое время через другое соединение со скоростью 256бит в секунду

Answer 1

=16 Кбайт * $\frac{256}{2048}$ = 2 Кбайт = 2048 байт

Answer 2

Calculating the File Size

To determine the size of the file that can be transmitted in the same amount of time through another connection with a speed of 256 bits per second, we need to calculate the file size.

The original file size is given as 16 kilobytes (16 KB), which is equivalent to 16,000 bytes.

The original connection speed is 2048 bits per second.

To calculate the time it takes to transmit the file, we divide the file size by the connection speed:

Time = File Size / Connection Speed

Let's calculate the time it takes to transmit the file through the original connection:

Time = 16,000 bytes / 2048 bits per second

To calculate the file size that can be transmitted in the same time through the new connection with a speed of 256 bits per second, we multiply the time by the new connection speed:

New File Size = Time * New Connection Speed

Let's calculate the new file size:

New File Size = Time * 256 bits per second

Now, let's calculate the file size that can be transmitted through the new connection.

Calculation:

1. Convert the file size from kilobytes to bytes: - 16 KB = 16,000 bytes

2. Calculate the time it takes to transmit the file through the original connection: - Time = 16,000 bytes / 2048 bits per second

3. Calculate the file size that can be transmitted through the new connection: - New File Size = Time * 256 bits per second

Solution:

1. Convert the file size from kilobytes to bytes: - 16 KB = 16,000 bytes

2. Calculate the time it takes to transmit the file through the original connection: - Time = 16,000 bytes / 2048 bits per second - Time = 7.8125 seconds

3. Calculate the file size that can be transmitted through the new connection: - New File Size = Time * 256 bits per second - New File Size = 7.8125 seconds * 256 bits per second - New File Size = 2000 bytes

Therefore, the file size that can be transmitted in the same amount of time through another connection with a speed of 256 bits per second is 2000 bytes.

Please note that the calculations provided are based on the given information and assumptions.