1. For 984 and 599, Find Excess 3 Addition
Solution:
`984+599` Excess 3 addition
Steps for Excess 3 addition
For `A+B`
1. Add each digit of A and B using binary addition
2. If carry then add it to the next bits and consider this bits as Invalid
3. Add 3 for Invalid bits and subtract 3 for others
Add `984` and `599` using Excess 3 addition
| Excess 3 code for 984 : | 1100 | 1011 | 0111 |
| Excess 3 code for 599 : | 1000 | 1100 | 1100 |
|
| Addition : | 10100 | 10111 | 10011 |
|
| Remaining bits except carry : | 10100 | 0111 | 0011 |
| Carry : | 1 | 1 | |
|
| Addition : | 10101 | 1000 | 0011 |
| If carry generated then add 3 otherwise subtract 3 : | -0011 | +0011 | +0011 |
|
| Result : | 10010 | 1011 | 0110 |
| Decimal value : | 18 | 11 | 6 |
| Excess 3 value : | 15 | 8 | 3 |
So final answer of Excess 3 addition is `1583`
This material is intended as a summary. Use your textbook for detail explanation.
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