An informational message of 3 KB contains 6144 characters. How many characters

An informational message of 3 KB contains 6144 characters. How many characters are in the alphabet with which this message was written?

3 kB = 3 * 1024 bytes = 3072 bytes = 3072 * 8 bits = 24576 bits – informational volume of this message.

i = I / K = 24576 bits / 6144 symbols = 4 bits – falls on the encoding of one symbol.

Then the alphabet N contains 2 ^ i characters = 2 ^ 4 = 16.

Answer: the alphabet with which the message was written contains 16 characters.



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