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Find 9's complement subtraction 670-831 [ Calculator, Method and examples ]

Solution:
Your problem `->` 9's complement subtraction 670-831


9's complement subtraction steps :

1. At first, find 9'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 1 is added to the result.
4. If there is no carry over, then 9's complement of the sum is the final result and it is negative.


Here A = 670, B = 831.
Find A - B = ? using 9's complement
First find 9's complement of B = 831

Note : 9's complement of a number is obtained by subtracting all bits from 999.
9's complement of 831 is
999
-831

168


Now Add this 9's complement of B to A

1
670
+168

838

Hints : (Move mouse over the steps for detail calculation highlight)
Step-1
`=0+8`
`=8`
`:.` Sum`=8`
Step-2
`=7+6`
`=13`
`:.` Sum`=3` and carry`=1`
Step-3
`=1+6+1`
`=8`
`:.` Sum`=8`


Here there is no carry, answer is - (9's complement of the sum obtained 838)

Note : 9's complement of a number is obtained by subtracting all bits from 999.
9's complement of 838 is
999
-838

161

So answer is -161





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