Question

Текс длиной 10240 символов закодирован с помощью алфавита,содержащего16 симболов.Сколько килобайтзанимет в памяти этот текст?

Answer 1

N=16
N=2^i
i=4
K= 10240
I=K*i
I=10240*4=40960 бит=5120 байт = 5 Кб

Answer 2

Calculating the Size of Encoded Text

To calculate the size of the encoded text in kilobytes, we can use the following formula:

Size (in kilobytes) = (Length of encoded text * Number of bits per symbol) / 8 / 1024

In this case, the length of the encoded text is 10240 characters, and the alphabet contains 16 symbols. To calculate the number of bits per symbol, we can use the formula:

Number of bits per symbol = log2(Number of symbols)

Let's calculate the size of the encoded text in kilobytes using the provided information.

Calculation

First, we need to calculate the number of bits per symbol: Number of bits per symbol = log2(16) = 4

Now, we can calculate the size of the encoded text in kilobytes: Size (in kilobytes) = (10240 * 4) / 8 / 1024 = 20480 / 8 / 1024 ≈ 2.5 kilobytes

Therefore, the encoded text, with a length of 10240 characters and using an alphabet of 16 symbols, would occupy approximately 2.5 kilobytes in memory.