Solving Examples on 9's and 10's Complement Subtraction | Lesson 5 | Digital Logic | Learning Monkey

Here we will try Solving Examples on 9's and 10's Complement Subtraction.

To know how to do 9's and 10's Complement Subtraction click here.

The steps involved in decimal number subtraction using 9's complement are

Obtain the 9's complement of the subtrahend and add it to the minuend. This is a result, not the final answer.
If there is a carry the result is the final answer and the answer is a positive number. Add carry to the Least Significant Digit.
If there is no carry it indicates that the result is not the final answer and the final answer is a negative number.
To get the final answer find the 9's complement of the result. Add a minus sign to the final answer.

The steps involved in decimal number subtraction using 10's complement are

Obtain the 10's complement of the subtrahend and add it to the minuend. This is a result, not the final answer.
If there is a carry the result is the final answer and the answer is a positive number. Ignore carry.
If there is no carry it indicates that the result is not the final answer and the final answer is a negative number.
To get the final answer find the 10's complement of the result. Add a minus sign to the final answer.
Solving Examples on 9's and 10's Complement Subtraction:

We solve the following examples using the above steps.

1. 9782 - 3645

2. 3645 - 9782

3. 2928.54 - 0416.73

Example 1:

9782 - 3645

Subtraction using 9's complement:

Step 1: Find the 9's complement of the subtrahend.

9999 - 3645 = 6354

Add 9's complement to the minuend.

9782 + 6354 = 1 6136

Step 2:

Check for carry if there is a carry add it to the least significant digit.

6136 + 1 = 6137.

6137 is the final answer.

Subtraction using 10's complement:

Step 1: Find the 10's complement of the subtrahend.

9999 - 3645 = 6354 , 6354 + 1 = 6355

Add 10's complement to the minuend.

9782 + 6355 = 1 6137

Step 2:

Check for carry if there is a carry ignore it.

6136 + 1 = 6137.

6137 is the final answer.

Example 2:

3645 - 9782

Subtraction using 9's complement:

Step 1: Find the 9's complement of the subtrahend.

9999 - 9782 = 0217

Add 9's complement to the minuend.

3645 + 0217 = 3862

Step 2:

Check for carry if there is no carry find the 9's complement of the result and add a minus sign to the answer obtained.

9999 - 3862 = 6137

Add a minus sign to the result.

-6137 is the answer.

Subtraction using 10's complement:

Step 1: Find the 10's complement of the subtrahend.

9999 - 9782 = 0217, 0217 + 1 = 0218.

Add 10's complement to the minuend.

3645 + 0218 = 3863

Step 2:

Check for carry if there is no carry find the 10's complement of the result and add a minus sign to the answer obtained.

9999 - 3863 = 6136, 6136 + 1 = 6137.

Add a minus sign to the result.

-6137 is the answer.

Example 3:

2928.54 - 0416.73

Subtraction using 9's complement:

Step 1: Find the 9's complement of the subtrahend.

9999.99 - 0416.73 = 9583.26

Add 9's complement to the minuend.

2928.54 + 9583.26 = 1 2511.80

Step 2:

Check for carry if there is a carry add it to the least significant digit.

2511.80 + 1 = 2511.81.

2511.81 is the final answer.

Subtraction using 10's complement:

Step 1: Find the 10's complement of the subtrahend.

9999.99 - 0416.73 = 9583.26, 9583.26 + 1 = 9583.27

Add 10's complement to the minuend.

2928.54 + 9583.27 = 1 2511.81

Step 2:

Check for carry if there is a carry ignore it.

2511.81 is the final answer.

For practice Subtract 0416.73 - 2928.54.

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