Question
Download Solution PDFExcess - 3 - code is also known as
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExcess - 3 - code is also known as self-complementing code which means 1's complement of an excess - 3 number is the excess - 3 code for the 9's complement of the corresponding decimal number.
Example:
1 in binary is 0001
excess 3 code is 0001 + 0011 = 0100
1's complement of the above code is 1011 which is 11
11 is excess 3 code for 8
and 9's complement of 1 is 8
|
Decimal |
Excess – 3 code |
Binary |
Gray code |
Octal |
|
0 |
0011 |
0000 |
0000 |
000 |
|
1 |
0100 |
0001 |
0001 |
001 |
|
2 |
0101 |
0010 |
0011 |
010 |
|
3 |
0110 |
0011 |
0010 |
011 |
|
4 |
0111 |
0100 |
0110 |
100 |
|
5 |
1000 |
0101 |
0111 |
101 |
|
6 |
1001 |
0110 |
0101 |
110 |
|
7 |
1010 |
0111 |
0100 |
111 |
|
8 |
1011 |
1000 |
1100 |
001 000 |
Last updated on May 30, 2025
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