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Comparing Binary and Parity Addition


Question: What is common between binary and parity addition? Answer: The word addition: these operations share some properties. For example, for both operations the order of two numbers doesn't matter. Nevertheless, these are completely different operations: the results needn't have anything in common. (Except the last digit - can you figure out why?)

Notice how greatly the answers differ for binary and parity addition for our three examples:
0 1 and 1 1
1 0 1 0 and 0 0 1 1
1 0 0 1 0 1 and 0 1 0 1 0 1

Binary
Addition
Parity
Addition
01 and 11= 100 10
1010 and 0011= 1101 1001
100101 and 010101= 111010 110000

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