
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 
