Method : 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.
1. Find Subtraction of 470 and 231 using 10's complementSolution: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 = 470, B = 231.
Find A - B = ? using 10's complement
First find 10's complement of B = 231
Note : 10's complement of a number is 1 added to it's 9's complement number.
Step-1: 9's complement of 231 is obtained by subtracting each digit from 9
Step-2: Now add 1 :
768 + 1 = 769
Step-3: Now Add this 769 to 470
Step by step solution of 470 + 769 = 1239
Write the numbers, so that each digit lines up vertically
Step-1 :
`=0+9`
`=9`
Write the 9 in the sum place
Step-2 :
`=7+6`
`=13`
Write the 3 in the sum place and carry the 1 to the next carry place
Step-3 :
`=1+4+7`
`=12`
Write the 12 in the sum place
The left most bit of the result (1239) is 1, called carry and it is ignored.
So answer is 239
This material is intended as a summary. Use your textbook for detail explanation.
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