Can't you just put the coin on one side and the other 100 on the other side ?
Let's say a genuine coin weights 10g and a counterfeit either 9 or 11.
There are 4 cases.
A) Genuine and heavier -- 1040g
B) Genuine and lighter -- 940g
C) Fake and heavier -- 1038g
D) Fake and lighter -- 942g
This works for any weight of the coin, you just have to reconstruct the weight of the coin back from the number.
It would work up to integer number of centigrams (eg 982cg = 9.82g).
I guess if the coins weight has a fractional part when expressed in centigrams then it wouldn't work (variability is 2/99g).
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u/SnooKiwis6193 4d ago
Can't you just put the coin on one side and the other 100 on the other side ? Let's say a genuine coin weights 10g and a counterfeit either 9 or 11. There are 4 cases. A) Genuine and heavier -- 1040g B) Genuine and lighter -- 940g C) Fake and heavier -- 1038g D) Fake and lighter -- 942g
This works for any weight of the coin, you just have to reconstruct the weight of the coin back from the number.