How many characters are in the text if the size of the alphabet is 64 characters and the amount

How many characters are in the text if the size of the alphabet is 64 characters and the amount of information it contains is 1.5 Kbytes?

Given:
N (power of the alphabet) = 64 characters;
I (amount of information) = 1.5 kilobytes;
Unknown:
K (number of characters) -?
i (character weight) -?
We can solve this problem using the formulas:
N = 2 ^ i, I = K * i;
2 ^ 6 = 64;
i = 6 bits;
Let’s convert bits and kilobytes to bytes:
6/8 = 0.75 bytes;
1.5 * 1024 = 1536 bytes.
Let’s transform the formula and substitute the values:
I = K * i => K = I / i;
1536 / 0.75 = 2048 characters.



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