9's Complement Subtraction Example 1789

3. Find Subtraction of 1789 and 1502 using 9's complement

Solution:

9's complement subtraction steps :

1. At first, find 9'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 9's complement of the sum is the final result and it is negative.

Here A = 1789, B = 1502.
Find A - B = ? using 9's complement
First find 9's complement of B = 1502

Note : 9's complement of a number is obtained by subtracting all bits from 9999

Step-1: 9's complement of 1502 is obtained by subtracting each digit from 9999



	9	9	9	9
-	1	5	0	2

	8	4	9	7

Step-2: Now Add this 8497 to 1789

	1	1	1
	1	7	8	9
+	8	4	9	7

1	0	2	8	6

Step by step solution of 1789 + 8497 = 10286

Write the numbers, so that each digit lines up vertically


	1	7	8	9
+	8	4	9	7

Step-1 :
`=9+7`
`=16`
Write the 6 in the sum place and carry the 1 to the next carry place

			1
	1	7	8	9
+	8	4	9	7

				6

Step-2 :
`=1+8+9`
`=18`
Write the 8 in the sum place and carry the 1 to the next carry place

		1	1
	1	7	8	9
+	8	4	9	7

			8	6

Step-3 :
`=1+7+4`
`=12`
Write the 2 in the sum place and carry the 1 to the next carry place

	1	1	1
	1	7	8	9
+	8	4	9	7

		2	8	6

Step-4 :
`=1+1+8`
`=10`
Write the 10 in the sum place

	1	1	1
	1	7	8	9
+	8	4	9	7

1	0	2	8	6

The left most bit (1) of the result (10286) is called carry and add it to the rest part of the result (0286)


	0	2	8	6
+				1

	0	2	8	7

So answer is 0287

This material is intended as a summary. Use your textbook for detail explanation.
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3. Example 1789 - 1502