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Interesting. I always associate "1 + 1 = 1" with idempotency. Here, "1 + 1 + 1 = 1", but "1 + 1 = 0".

I'm not a math whiz, so I'm just stuck with "1 + 1 = 2."

XOR is a simple operation that shows that behavior.

you're wrong. 1 + 1 = 10

My son once asked me what 1+1 was equal to. I said, "two!"

He said, "no, it's eleven." And that's when I realized he's going to be a JavaScript coder.

Which of course is 0 mod 2.

And 0^0 x 2