Binary Subtraction Using 1’s Complement
In binary subtraction using the 1’s complement method, we have two symbols:
- 0 represents the positive sign
- 1 represents the negative sign
Here are the steps for binary subtraction using 1’s complement:
Write the 1’s complement of the subtrahend (the number we want to subtract).
Add the 1’s complement of the subtrahend to the minuend (the number we are subtracting from).
If there is a carryover in the result, add it to the least significant bit.
If there is no carryover, take the 1’s complement of the result to get the negative value.
Example of Using 1’s Complement
Example: Question:
(110101)2 – (100101)2
Solution:
(110101)2 = 53 in decimal (minuend)
(100101)2 = 37 in decimal (subtrahend)
Now, take the 1’s complement of the subtrahend and add it to the minuend.
1 carry
1 1 0 1 0 1
(+) 0 1 1 0 1 0
0 0 1 1 1 1
1 carry
0 1 0 0 0 0
Therefore, the solution is 010000, which is 16 in decimal.
So, (110101)2 – (100101)2 = 16 in decimal.
What is the binary subtraction of 1111 and 1010?
When you subtract 1010 from 1111 in binary, we get 0111 as the result. This binary value 0111 is equal to 7 in decimal.