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Problem: 8's complement subtraction 342-614 [ Calculator, Method and examples ]

Solution:
Your problem `->` 8's complement subtraction 342-614


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 = 342, B = 614.
Find A - B = ? using 8's complement
First find 8's complement of B = 614

Note : 8's complement of a number is 1 added to it's 7's complement number.
7's complement of 614 is
777
-614

163


Now add 1 : 163 + 1 = 164

Now Add this 8's complement of B to A

1
342
+164

526

Hints : (Move mouse over the steps for detail calculation highlight)
Step-1
`=2+4`
`=2+4`
`=6`
`=8xx0+6`
`=6_8`
`:.` Sum`=6`
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 - (8's complement of the sum obtained 526)

Note : 8's complement of a number is 1 added to it's 7's complement number.
7's complement of 526 is
777
-526

251


Now add 1 : 251 + 1 = 252
So answer is -252







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