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Two unsigned integers are added by a circuit that accepts J-bit operands. The carry out from...

Two unsigned integers are added by a circuit that accepts J-bit operands. The carry out from the MSB is ignored; the J sum bits are examined. Consider the set of all pairs of operands (order does not matter because unsigned integer addition is commutative). There is a sum that can be produced by at least three distinct pairs of operands. Name such a sum and three operand pairs that have that sum.

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