Binary Coded Decimal (BCD) is a method of representing decimal numbers (0-9) using binary numbers. In BCD, each decimal digit is encoded as a separate 4-bit binary number. This allows for easy conversion between binary and human-readable decimal numbers, which is helpful in digital systems like calculators, clocks, and other devices that display numerical information.
Example:
The decimal number 45 would be represented in BCD as follows:
- 4 in binary:
0100 - 5 in binary:
0101
Thus, 45 in BCD would be represented as: 0100 0101.
BCD Advantages:
- Simple conversion between binary and decimal.
- Easier to implement on hardware for devices that need to display numerical data.
BCD Disadvantages:
- Less efficient compared to pure binary representation, as it requires more bits to represent the same number. For instance, to represent the decimal number 45:
- In pure binary:
101101(6 bits). - In BCD:
0100 0101(8 bits).
- In pure binary:
Despite being less space-efficient, BCD is widely used in applications where precise and easy human-readable decimal representation is important.
