Which of the following BCD code, is a sequential code and therefore can be used for arithmetic operations as well as has six invalid states 0000, 0001, 0010, 1101, 1110 and 1111?

LohaHridoy
  1. The excess three code
  2. Error detecting code
  3. The 8421 BCD code
  4. The Gray code

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Option 1 : The excess three code

  • Excess 3 code is a 4-bit code.
  • It can be derived from the BCD code by adding ‘3’ to each coded number. Thus, in excess 3 code 0011 is added to each BCD number.
  • It is an un-weighted code.
  • It is a self-complimenting code i.e. the 1’s complement of an excess three number is the excess 3 code for the 9’s complement of the corresponding decimal number.

Decimal Digit

BCD Code

Excess-3 Code

0

0000

0011

1

0001

0100

2

0010

0101

3

0011

0110

4

0100

0111

5

0101

1000

6

0110

1001

7

0111

1010

8

1000

1011

9

1001

1100
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