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Problem: 7's complement subtraction 342-614 [ Calculator, Method and examples ]

Solution:
Your problem `->` 7's complement subtraction 342-614


7's complement subtraction steps :

1. At first, find 7'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 7's complement of the sum is the final result and it is negative.


Here A = 342, B = 614.
Find A - B = ? using 7's complement
First find 7's complement of B = 614

Note : 7's complement of a number is obtained by subtracting all bits from 777.
7's complement of 614 is
777
-614

163


Now Add this 7's complement of B to A

1
342
+163

525

Hints : (Move mouse over the steps for detail calculation highlight)
Step-1
`=2+3`
`=2+3`
`=5`
`=8xx0+5`
`=5_8`
`:.` Sum`=5`
Step-2
`=4+6`
`=4+6`
`=10`
`=8xx1+2`
`=12_8`
`:.` Sum`=2` and carry`=1`
Step-3
`=1+3+1`
`=1+3+1`
`=5`
`=8xx0+5`
`=5_8`
`:.` Sum`=5`


Here there is no carry, answer is - (7's complement of the sum obtained 525)

Note : 7's complement of a number is obtained by subtracting all bits from 777.
7's complement of 525 is
777
-525

252

So answer is -252







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