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A half adder adds two bits to produce a sum of

Question

A half adder adds two bits to produce a sum of

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Solution

A half adder adds two bits to produce a sum and a carry. Specifically, it produces two outputs:

  1. Sum (S): This is the XOR (exclusive OR) of the two bits being added. It represents the sum of the two bits, ignoring any carry that might result.

  2. Carry (C): This is the AND of the two bits being added. It represents whether a carry is generated by the addition of the two bits.

So, if the two bits being added are A and B, the outputs of the half adder would be:

S = A XOR B C = A AND B

For example, if A = 0 and B = 1, the sum S would be 1 (since 0 XOR 1 = 1) and the carry C would be 0 (since 0 AND 1 = 0).

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