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Problem: 15's complement subtraction B06-C7C [ Calculator, Method and examples ]

Solution:
Your problem -> 15's complement subtraction B06-C7C

15's complement subtraction steps :

1. At first, find 15'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 15's complement of the sum is the final result and it is negative.

Here A = b06, B = c7c.
Find A - B = ? using 15's complement
First find 15's complement of B = c7c

Note : 15's complement of a number is obtained by subtracting all bits from FFF.
15's complement of c7c is
 F F F - c 7 c F 8 F

Now Add this 15's complement of B to A

 1 b 0 6 + F 8 F F 9 5

Hints : (Move mouse over the steps for detail calculation highlight)
 Step-1=6+F=6+15=21=16xx1+5=15_16:. Sum=5 and carry=1 Step-2=1+0+8=1+0+8=9=16xx0+9=9_16:. Sum=9 Step-3=b+F=0+15=15=16xx0+15=F_16:. Sum=F

Here there is no carry, answer is - (15's complement of the sum obtained F95)

Note : 15's complement of a number is obtained by subtracting all bits from FFF.
15's complement of F95 is
 F F F - F 9 5 0 6 A

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