The size of a message containing 2048 characters was 1/512 of a MB. What is the size of the alphabet with which the message is written?

To solve the problem, let’s determine how many bits the entire message occupies.
1/512 MB = 1024/512 = 2 KB. (1 MB = 1024 KB);
2 KB = 2 * 1024 = 2048 bytes (1 KB = 1024 bytes);
2048 bytes = 2048 * 8 = 16384 bits.
A text of 2048 characters is 16384 bits, therefore one character is 16384: 2048 = 8 bits = 1 byte.
If 8 bits are used to store 1 character of the alphabet, then 2 ^ 8 = 256 characters can be encoded with a binary code of this size.
Answer: the size of the alphabet is 256 characters.



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