April 19, 2024
Binary Addition
| 0 | 0 | 1 | 1 |
| +0 | +1 | +0 | +1 |
| 0 | 1 | 1 | carry(1)0 |
If a carry is generated, it is carried one position to the left as in decimal arithmetic.
Example:
Add binary numbers 101 and 111
101
+111
1100
Starting from the rightmost column, 1 + 1 means that you write 0 and carry
1 to the next column on the left.
Move to the left, add 0 + 1 plus the 1 you carried. Therefore you write 0
and carry 1 to the next column.
Move to the left, add 1 + 1 plus the 1 that you carried. Therefore you write
1 and carry 1 to the next column.
Move to the left, nothing to add other than the 1 you carried. Therefore the
1 is placed in front of the other 3 binary digits.
Result 1100.
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