Question

Файл размером 64 Кбайт передаётся через некоторое соединение со скоростью 1024 бит в секунду. Определите размер файла (в Кбайт), который можно передать за то же время через другое соединение со скоростью 256 бит в секунду. В ответе укажите одно число — размер файла в Кбайт. Единицы измерения писать не нужно.

Answer 1

64 Кбайт/1024 бит в секунду = (64 · 1024 · 8 бит)/(1024 бит в секунду) = 64 · 8 секунд. 

Вычислим раз­мер файла:

 

64 · 8 секунд · 256 бит в секунду = 64 · 256 байт = 16 Кбайт. 

Ответ: 16.

Answer 2

Calculation of File Size

To determine the size of a file that can be transmitted in the same amount of time through a connection with a speed of 256 bits per second, we need to compare it to the original file size of 64 kilobytes (KB) transmitted through a connection with a speed of 1024 bits per second.

To calculate the file size, we can use the formula:

File Size (in kilobytes) = (Connection Speed (in bits per second) / 8) * Time (in seconds) / 1024

Let's calculate the file size:

For the original connection: - Connection Speed: 1024 bits per second - File Size: 64 kilobytes - Time: Unknown

For the new connection: - Connection Speed: 256 bits per second - File Size: Unknown - Time: Same as the original connection

To find the time taken for the original connection, we can rearrange the formula as follows:

Time (in seconds) = (File Size (in kilobytes) * 1024) / (Connection Speed (in bits per second) / 8)

Substituting the values into the formula, we can calculate the time taken for the original connection:

Time (in seconds) = (64 * 1024) / (1024 / 8) = 512 seconds

Now, we can calculate the file size for the new connection using the same formula:

File Size (in kilobytes) = (Connection Speed (in bits per second) / 8) * Time (in seconds) / 1024

Substituting the values into the formula, we can calculate the file size for the new connection:

File Size (in kilobytes) = (256 / 8) * 512 / 1024 = 16 kilobytes

Therefore, the size of the file that can be transmitted in the same amount of time through a connection with a speed of 256 bits per second is 16 kilobytes.