As we know from the school computer science curriculum, the encoding system specified in the condition contains 256 characters, that is, to encode one character of the text, 8 bits are required (256 = 28).
Now we need to translate the amount of memory occupied by the text, which, according to the condition of the task, is 1/4 KB, also into bits:
1 KB – this will be 1024 bytes;
1 byte – this will be 8 bits;
1/4 * 1024 * 8 = 2048.
Now we can calculate how many characters this text contains:
2048: 8 = 256.
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