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Find 1's complement subtraction 10110-11101

Solution:
Your problem `->` 1's complement subtraction 10110-11101


1's complement subtraction steps :

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


Here A = 10110, B = 11101.
Find A - B = ? using 1's complement
First find 1's complement of B = 11101

Note : 1's complement of a number is obtained by subtracting all bits from 11111.
1's complement of 11101 is
11111
-11101

00010


Now Add this 1's complement of B to A

11
10110
+00010

11000

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

Step-1
`=0+0`
`=0+0`
`=0`
`=2xx0+0`
`=0_2`
`:.` Sum`=0`
Step-2
`=1+1`
`=1+1`
`=2`
`=2xx1+0`
`=10_2`
`:.` Sum`=0` and carry`=1`
Step-3
`=1+1+0`
`=1+1+0`
`=2`
`=2xx1+0`
`=10_2`
`:.` Sum`=0` and carry`=1`
Step-4
`=1+0+0`
`=1+0+0`
`=1`
`=2xx0+1`
`=1_2`
`:.` Sum`=1`
Step-5
`=1+0`
`=1+0`
`=1`
`=2xx0+1`
`=1_2`
`:.` Sum`=1`



Here there is no carry, answer is - (1's complement of the sum obtained 11000)

Note : 1's complement of a number is obtained by subtracting all bits from 11111.
1's complement of 11000 is
11111
-11000

00111

So answer is -00111





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