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Excess-3 Addition:

 

1. If carry occurs → (+3)

2. If carry doesn’t occur → (-3)

3. Number of digits in the input should be equal to the number of digits in the output.

 

Now why and when we add and subtract 3:

 

 

# But carry is there then to correct the answer, we should add 3 because it Ex-3.

 

Example 1:

Say, Add 7 and 2 at Excess–3

 

Example 2:

Add 07 and 03 at Ex-3