Question

Объём информационного сообщения 60 бит. В сообщения 12 символов. Какова мощность алфавита?​

Answer 1

Ответ:

Дано:

I = 60 бит

K = 12 символов

Найти: N - ?

Решение:

X = I : K = 60 : 12 = 5 бит

N =

${2}^{x} = {2}^{5} = 32$

Ответ: N = 32 символа

Answer 2

Calculating the Alphabet Size

To determine the alphabet size, we need to find the number of unique symbols or characters used in the message. The message consists of 12 symbols and has a total information content of 60 bits.

Let's assume that each symbol in the message is drawn from an alphabet of size n. The total number of possible messages that can be formed using an alphabet of size n and a message length of 12 symbols is given by n^12.

We can equate this to the total information content of the message, which is 60 bits. So, we have the equation:

n^12 = 60

To find the value of n, we can take the 12th root of both sides of the equation:

n = 60^(1/12)

Calculating this value gives us approximately 2.297.

Therefore, the estimated alphabet size is 2.297.