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UDP checksum

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UDP uses 1's complement for its checksums. Suppose you have the following three 16-bit words0100010001000100, 0101010101010101, 0011001100110011. What is the 1's complement of the sum of these 16-bit words? Why is it that UDP takes 1's complement of the sum; that is why not just use the sum? With 1's complement scheme, how does the receiver detects the error? Is it possible that a one bit error will go undetected? How about a two bit error?

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UDP Checksum:

The UDP checksum provides for error detection. UDP at the sender side performs the one's complement of the sum of all the 16-bit words in the segment. This result is put in the checksum field of the UDP segment. When the segment arrives at the receiving host, all 16-bit words are added together, including the checksum. If this sum equals 1111111111111111, then the ...

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