The message size is 11 KB. The message contains 22,528 characters. What is the cardinality of the alphabet

The message size is 11 KB. The message contains 22,528 characters. What is the cardinality of the alphabet with which the message is written?

1) Let’s translate 11 KB into bits.

1 KB = 1024 bytes, 1 byte = 8 bits.

11 * 1024 = 11264 bytes

11264 * 8 = 90112 bits

2) The message contains 22528 characters, let’s calculate how much one character weighs.

90112: 22528 = 4 bits weighs one character.

3) Using the formula for finding information, calculate the power of the alphabet.

N = 2i, where N is the power of the alphabet, i is the amount of information in bits that one character of the alphabet carries.

N = 2 ^ 4

N = 16 characters

Answer: the power of the alphabet is 16 characters.