Binary Roman numerals go I, X, XI, C, CI, CX, CXI, M, MI, MX, MXI, MC, MCI, MCX, MCXI, and then you run out
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So my "binary Roman numerals" is constrained to use only one of two symbols in each place: "" for "0", "I"/"X"/"C"/"M" for "1"
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It's really more like additive/subtractive notation - if a symbol comes before one of greater value, it is subtracted from the larger—
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