1.3 KiB
1.3 KiB
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Binary addition
- We add binary values in columns just like we would with denary addition.
- Each column is classified on the basis of place-value. In denary this is 10, in binary it is 2.
- When we conduct a binary addition, we add the binary values as if they were
normal integers but we represent the sums as binary.
- For example:
1 + 1 = 2for the calculation but the sum is10
- For example:
Examples
Example one
1010 + 0111 = 10001
10 + 7 = 17
In the first column: 1 + 0 = 1, so we simply put the binary value for 1:
1010
0111
____
1
In the second column: 1 + 1 = 2. In binary this is represented as 10. So we
put 0 beneath the bar and carry the 1:
1
1010
0111
____
01
In the third column, we repeat the previous process. We are presented with
1 + 0 + 1 which is 2. As 2 is 10 in binary, we put the zero beneath the
line and carry the 1:
11
1010
0111
____
001
In the final column, we again have 1+1 giving us 2 or 10 but at this point
we cannot carry any more because we have reached the final column. So instead of
carrying the 1 we just put both digits beneath the line 10.
11
1010
0111
_____
10001
Example two
1001 + 0111 = 10000
9 + 7 = 16
111
1001
0111
_____
10000