The binary numeral system  represents numeric values using two symbols, 0 and 1. It’s not so difficult to add binary numbers, actually it’s comparable to adding decimal numbers, with a few exceptions.
This is how you do it:
1. Just like the adding of decimal numbers, align the desired numbers.
2. Begin with the two numbers in the far right column.
3. Unless both numbers represent a 1, you have to follow the rules of decimal addition in adding the numbers.
4. Next, add 1+1 as “10″ (notice that “10″ represents “one zero” not “ten”). Write “0″ bellow and carry a “1″ to the next column.
5. Proceed on the next column to the left.
6. The previous steps must be repeated, but add any carry. Notice that 1+1=10 and 1+1+1=11. And remember to carry the “1″.
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