Home > College Algebra calculators > 2's Complement Subtraction example

8's Complement Subtraction example ( Enter your problem )
  1. Example 402 - 314
  2. Example 342 - 614
  3. Example 465 - 371
  4. Example 1256 - 2702
  5. Example 31421 - 7253
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

3. 7's Complement Subtraction
(Previous method)
2. Example 342 - 614
(Next example)

1. Example 402 - 314





Method : 8's complement subtraction steps :
1. At first, find 8'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 8's complement of the sum is the final result and it is negative.


1. Find Subtraction of 402 and 314 using 8's complement

Solution:
8's complement subtraction steps :
1. At first, find 8'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 8's complement of the sum is the final result and it is negative.

Here A = 402, B = 314.
Find A - B = ? using 8's complement
First find 8's complement of B = 314

Note : 8's complement of a number is 1 added to it's 7's complement number.

Step-1: 7's complement of 314 is obtained by subtracting each digit from 7
777
-314

463



Step-2: Now add 1 :
463 + 1 = 464


Step-3: Now Add this 464 to 402

402
+464

1066


Step by step solution of 402 + 464 = 1066

Write the numbers, so that each digit lines up vertically

402
+464


Step-1 :
`=2_8+4_8`
`=2_10+4_10`
`=6_10`
`=6_8`
Write the 6 in the sum place

402
+464

6

Step-2 :
`=0_8+6_8`
`=0_10+6_10`
`=6_10`
`=6_8`
Write the 6 in the sum place

402
+464

66

Step-3 :
`=4_8+4_8`
`=4_10+4_10`
`=8_10`
`=8xx1+0`
`=10_8`
Write the 10 in the sum place

402
+464

1066



The left most bit of the result (1066) is 1, called carry and it is ignored.

So answer is 066




This material is intended as a summary. Use your textbook for detail explanation.
Any bug, improvement, feedback then Submit Here



3. 7's Complement Subtraction
(Previous method)
2. Example 342 - 614
(Next example)






Share this solution or page with your friends.
 
 
Copyright © 2025. All rights reserved. Terms, Privacy
 
 

.