A message of 128 characters has an information weight of 64 bytes. How many characters

A message of 128 characters has an information weight of 64 bytes. How many characters are in the alphabet used to write this message?

First, you need to translate the information volume of the message from bytes to bits.

Since there are 8 bits in 1 byte, we get:

64 * 8 = 512 bits.

We find the information volume of one symbol.

To do this, divide the size of the entire message by the number of characters in the message.

Will be:

512/128 = 4 bits.

Determine the number of characters in the alphabet using the following formula:

N = 2 ^ i

N = 2 ^ 4 = 16 characters.

Answer: The alphabet contains 16 characters.