The size of the message is 11 Kbytes. The message contains 11264 characters. What is the power of the alphabet?

To solve this problem, we use the basic formula:
N = 2 ^ b.

But first, let’s convert 11 kilobytes to bits.
One kilobyte = 8192 bits, which means

8192 * 11 = 90112;

Divide the number of bits by the number of characters:
90112/11264 = bit;
Now let’s find out the power of the alphabet using the basic formula:
N = 2 ^ 8 = 256 characters.

Answer: the cardinality of the alphabet is 256 characters.