Explain the Excess three codes - BCD to Decimal Conversion
The Excess-3 representation of a number is based on Binary Coded Decimal. It is formed by taking the number in Binary Coded Decimal and adding the binary code for 3 to each of the 4-bit groups. Therefore if we take the number 739, the Binary Coded Decimal representation of it is: 0111 0011 1001. The binary for 3 (in 4 bits) is 0011. To give the Excess-3 for 739 this is added to each of the BCD code groups.
0111 0011 1001
+ 0011 0011 0011
1010 0110 1100
Therefore the Excess-3 code for 739 is 1010 0110 1100.