This is fun!
I remember as an undergraduate student one of my professors was talking about how you had to convert binary or hexadecimal back to decimal notation if you wanted to perform operations on it, just like if you wanted to multiply Roman Numerals together.
Or you could, you know, just do this.
XXVII * XXII
LIIII+CVIII+CCCCXXXII = D
Because 27 * 22 = 594.
Do you want to know what just happened?
27 * 22
54 (11 – 1)
108 (5 – 1)
432 (1 – 1)
432+ 108 + 54 =594
Double the number in the first column, half the number in the second (subtract one if you have an odd number) For each row where you subtracted 1 from the halving column add the doubling column.
The summation is…
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