The size of the message, containing 2048 characters, was 1 / 512MB. What is the size of the alphabet used to write the message?

1) Let’s calculate how many KBytes are in 1/512 MBytes.

1 MB = 1024 KB.

1024: 512 * 1 = 2 Kbytes (carries the entire message)

2) Let’s translate the informational size of the message into bytes.

1 KB = 1024 bytes.

2 KB = 1024 * 2 = 2048 bytes.

3) There are 2048 characters in the entire message. Let’s calculate how much information each symbol carries.

2048: 2048 = 1 byte (carries each character)

4) Let’s translate 1 byte into bits.

1 byte = 8 bits.

5) Using the formula N = 2i (where N is the power of the alphabet, i is the amount of information in bits that each symbol carries), we find the power of the alphabet.

N = 2 ^ 8

N = 256 characters

Answer: The size of the alphabet is 256 characters.