Science of Math
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| 0 | 0 | 1 | 1 | |
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You copied the left pans onto the right pan, then traded two of a weight for one of the next bigger weight, starting with the smallest.
Each trade keeps the scale balanced, and it is the same as carrying 1 into the next column when you write the sum.
Swapping in something of equal weight is substitution.
Writing a trade as a 1 in the next column is carrying.
That is how numbers are added in binary.