A 32-character alphabet was used to record the message. The message contains 20 characters.

A 32-character alphabet was used to record the message. The message contains 20 characters. How much information does it carry?

First, we find how many bits of information contain one character of a given message written in a 32-character alphabet.

For this we use the following formula:

N = 2 ^ i

N is the number of characters in the alphabet.

i – volume of one symbol.

32 = 2 ^ i

i = 5.

We determine the total amount of information that this message carries.

To do this, we multiply 20 characters in the message by the information volume of one character.

We get:

20 * 5 = 100 bits.

In bytes will be:

100/8 = 12.5 bytes.

Answer: The message contains 100 bits of information.