How many characters are in the text if the size of the alphabet is 64 characters and the amount
September 25, 2021 | education
| 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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