Question

Помните решить задачу Текст длиной 200 символов записан с помощью алфавита из 26 символов. Определите количество информации в сообщении, закодированном с помощью равномерного кода наименьшей длины.

Answer 1

Ответ:

Мощность алфавита N=26

N=2^i   ⇒   2⁴≤ i ≤  2⁵  i = 5 бит

Количество символов в тексте: k=200

Информационный объем сообщения I=i*k= 5*200=1000 бит

или 1000/8= 125 байт

Объяснение:

Answer 2

Calculation of Information Content in a Message

To determine the amount of information in a message encoded using a uniform code of minimum length, we need to consider the number of possible symbols and the length of the message.

In this case, the message is 200 characters long and is encoded using an alphabet of 26 symbols. To calculate the information content, we can use the formula:

Information Content = Length of Message * Log2(Number of Symbols)

Let's calculate the information content of the given message:

Length of Message: 200 characters

Number of Symbols: 26 (since the message is encoded using an alphabet of 26 symbols)

Information Content = 200 * Log2(26)

Using a calculator, we can find that Log2(26) is approximately 4.70043971814.

Therefore, the information content of the message encoded using a uniform code of minimum length is:

Information Content = 200 * 4.70043971814

Calculating this, we find that the information content is approximately 940.087943628.

So, the amount of information in the given message, encoded using a uniform code of minimum length, is approximately 940.088 bits.