Binary Coded Decimal (BCD)

Binary-coded decimal, or BCD, uses binary digits to represent the decimal digits 0 through 9. A decimal (denary) digit is represented by four binary digits, as shown below:

BCD		Decimal
0000	=	0
0001	=	1
0010	=	2
0011	=	3
0100	=	4
0101	=	5
0110	=	6
0111	=	7
1000	=	8
1001	=	9

To convert a decimal number to BCD:
First, write out the decimal number to be converted; then, below each digit write the binary equivalent of that digit:

2	6	4
0010	0110	0100

So the BCD equivalent of 264 is 0010 0110 0100
To convert from BCD to decimal, simply reverse the process as shown:

1001	1000	0011
9	8	3

So the decimal equivalent of 1001 1000 0011 is 983

The BCD representation of 345 is:
1. 0011 0100 0101
2. 0110 0001 0101
3. 0000 0110 0101
4. 0011 0111 0101
The BCD representation of 706 is:
1. 0111 0100 0101
2. 0111 0000 0110
3. 0000 0110 0101
4. 0011 0111 0110
The BCD representation of 2301 is:
1. 0111 0100 0101 0010
2. 0111 0000 0000 0001
3. 0001 0110 0000 0001
4. 0010 0011 0000 0001
The BCD number 0110 0111 1001 converted to denary is:
1. 375
2. 689
3. 679
4. 579
The BCD number 0111 0110 1001 converted into denary is:
1. 769
2. 689
3. 768
4. 976
The BCD number 1001 0010 1001 converted into denary is:
1. 636
2. 727
3. 939
4. 929