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2's Complement Subtraction example ( Enter your problem )
  1. Example 110 - 101
  2. Example 10110 - 11101
  3. Example 11010 - 10101
  4. Example 10100 - 11010
  5. Example 1101110 - 1010101
Other related methods
  1. 1's Complement Subtraction
  2. 2's Complement Subtraction
  3. 7's Complement Subtraction
  4. 8's Complement Subtraction
  5. 9's Complement Subtraction
  6. 10's Complement Subtraction
  7. 15's Complement Subtraction
  8. 16's Complement Subtraction

  1. 1's Complement
  2. 2's Complement
  3. 7's Complement
  4. 8's Complement
  5. 9's Complement
  6. 10's Complement
  7. 15's Complement
  8. 16's Complement

1. 1's Complement Subtraction
(Previous method)
2. Example 10110 - 11101
(Next example)

1. Example 110 - 101





Method : 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.


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
111
-101

010



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


Step-3: Now Add this 011 to 110

1
110
+011

1001


Step by step solution of 110 + 011 = 1001

Write the numbers, so that each digit lines up vertically

110
+011


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

110
+011

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
110
+011

01

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
110
+011

1001



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

So answer is 001




This material is intended as a summary. Use your textbook for detail explanation.
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1. 1's Complement Subtraction
(Previous method)
2. Example 10110 - 11101
(Next example)






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