Question

Алфавит некоторой знаковой системы состоит из 256 символов. Какое количество информации будет содержать предложение из 40 символов? Ответ записать в байтах.

Answer 1

Решение:
K=40
 i=?
 
 N=2^i---> 2^8=i= 8 бит --- по формуле нашли сколькими 

битами кодируется один символ заданного алфавита.

I=i*K=8*40=320 бит --- размер сообщения из 40 символов в битах. 

 1 байт содержит 8 бит информации, значит 
320/8=40байт.

Сообщение занимает 40 байт.

Answer 2

Calculating Information Content of a 40-Character Sentence in a 256-Character Alphabet

The alphabet of a certain symbolic system consists of 256 characters. We want to calculate the amount of information contained in a sentence of 40 characters in this system, expressed in bytes.

Step 1: Calculate the Total Information Content To calculate the total information content, we can use the formula: \[ \text{Total Information Content} = \text{Number of Characters} \times \text{Number of Bits per Character} \]

Step 2: Convert Bits to Bytes Once we have the total information content in bits, we can convert it to bytes using the fact that 1 byte = 8 bits.

Let's proceed with the calculation.

Calculation

Using the given information: - Number of characters in the sentence: 40 - Number of characters in the alphabet: 256

Step 1: Calculate the Total Information Content \[ \text{Total Information Content} = 40 \times \log_2(256) \]

From Source we know that the number of bits per character in a 256-character system is 8.

Step 2: Convert Bits to Bytes Once we have the total information content in bits, we can convert it to bytes using the fact that 1 byte = 8 bits.

Result

The total information content of a 40-character sentence in a 256-character alphabet is 5 bytes.