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Find 10's complement subtraction 670-831

Solution:
Your problem `->` 10's complement subtraction 670-831


10's complement subtraction steps :

1. At first, find 10'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 10's complement of the sum is the final result and it is negative.


Here A = 670, B = 831.
Find A - B = ? using 10's complement
First find 10's complement of B = 831

Note : 10's complement of a number is 1 added to it's 9's complement number.
9's complement of 831 is
999
-831

168


Now add 1 : 168 + 1 = 169

Now Add this 10's complement of B to A

1
670
+169

839

Hints : (Move mouse over the steps for detail calculation highlight)

Step-1
`=0+9`
`=9`
`:.` Sum`=9`
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 - (10's complement of the sum obtained 839)

Note : 10's complement of a number is 1 added to it's 9's complement number.
9's complement of 839 is
999
-839

160


Now add 1 : 160 + 1 = 161
So answer is -161





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