Binary to BCD (Binary Coded Decimal) conversion involves converting a binary number into its decimal equivalent, where each decimal digit is represented by its 4-bit binary equivalent. This is useful in digital systems that require decimal digit manipulation, like digital clocks and calculators.
Steps for Conversion:
- Convert the binary number to its decimal equivalent.
Example: Binary 101101 → Decimal 45. - Write each decimal digit as a 4-bit binary number.
For example, 45 becomes 0100 (4) and 0101 (5) in BCD.
Example:
Binary: 101101
Decimal: 45
BCD: 0100 0101
This conversion ensures that each digit is separately encoded, simplifying hardware logic.