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What is the sum of X+XX+XXX+XXXX?

13.06.2025 02:17

What is the sum of X+XX+XXX+XXXX?

Given the use of upper case, I personally would initially assume Roman numerals*, so the answer would be C (100 in present-day decimal notation)

However, X +X^2 +X^3 + X^4 is a valid algebraic answer,

and for binary would be

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*Note that the abbreviation XL (for XXXX) appeared quite late in the Roman period, and never found universal favour

It’s a matter of interpretation.

1234X

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11010X

as would be assuming that these are representations of conventional numbers, in which case the answer for number bases of five or more would be

What is the sum of X+XX+XXX+XXXX?

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