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Why 1 + 1 = 0 in a computer (the half adder, explained)
Feed one and one into a half adder and the sum reads zero — with a carry of one. That's not a bug: it's binary counting past a single bit. Built here from pure arithmetic — SUM is A XOR B (add, then mod 2), CARRY is A AND B (multiply) — the half adder is the first component ever made to do arithmetic in hardware. Chain them and you get an ...
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