
2.64 | Chapter 2
Decimal
Digit
Excess-3
(XS-3) Code
1’s Complement
of Excess-3 Digit
Excess-3
(XS-3) Code
Decimal
Digit
Remarks
5 1000 0111 0111 4 9’s complement of 5 is 4
6 1001 0110 0110 3 9’s complement of 6 is 3
7 1010 0101 0101 2 9’s complement of 7 is 2
8 1011 0100 0100 1 9’s complement of 8 is 1
9 1100 0011 0011 0 9’s complement of 9 is 0
The following codes in binary cannot be represented in Excess-3 Code.
0000, 0001, 0010, 1101, 1110, 1111
ExamplE 2.60 Convert 3691.7 BCD number into excess-3 code.
Solution
BCD number: 3 6 9 1 . 7
Excess-3 number: 0110 1001 1100 0100 . 1010
So, 3691.7 BCD1 = 0110100111000100.1010 Ecess-3 Ans.
ExamplE 2.61 Convert 100101 ...