What did we just learn

11
0011
+0011
0110

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.

OK