2's Complement Subtraction calculator

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Solution

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Addition table

2's Complement Subtraction calculator

1. 110 - 101 using 2's complement

2. 10110 - 11101 using 2's complement

3. 11010 - 10101 using 2's complement

4. 10100 - 11010 using 2's complement

5. 1101110 - 1010101 using 2's complement

Example

1. Find Subtraction of 110 and 101 using 2's complement

Solution:

2's complement subtraction steps :

1. At first, find 2's complement of the B(subtrahend).
2. Then add it to the A(minuend).
3. If the final carry over of the sum is 1, then it is dropped and the result is positive.
4. If there is no carry over, then 2's complement of the sum is the final result and it is negative.

Here A = 110, B = 101.
Find A - B = ? using 2's complement
First find 2's complement of B = 101

Note : 2's complement of a number is 1 added to it's 1's complement number.

Step-1: 1's complement of 101 is obtained by subtracting each digit from 1



	1	1	1
-	1	0	1

	0	1	0

Step-2: Now add 1 :
010 + 1 = 011

Step-3: Now Add this 011 to 110

	1
	1	1	0
+	0	1	1

1	0	0	1

Step by step solution of 110 + 011 = 1001

Write the numbers, so that each digit lines up vertically


	1	1	0
+	0	1	1

Step-1 :
`=0_2+1_2`
`=0_10+1_10`
`=1_10`
`=1_2`
Write the 1 in the sum place


	1	1	0
+	0	1	1

			1

Step-2 :
`=1_2+1_2`
`=1_10+1_10`
`=2_10`
`=2xx1+0`
`=10_2`
Write the 0 in the sum place and carry the 1 to the next carry place

	1
	1	1	0
+	0	1	1

		0	1

Step-3 :
`=1+1_2+0_2`
`=1+1_10+0_10`
`=2_10`
`=2xx1+0`
`=10_2`
Write the 10 in the sum place

	1
	1	1	0
+	0	1	1

1	0	0	1

The left most bit of the result (1001) is 1, called carry and it is ignored.

So answer is 001