Binary to Decimal and BCD to Hexadecimal Converter
Binary to Decimal and BCD to Hexadecimal Converter
This free online tool converts binary numbers to decimal and BCD numbers to hexadecimal, making it easy to work with different number systems. With its user-friendly interface and instant results, this converter is perfect for students, programmers, and anyone who needs to convert numbers between binary, decimal, and hexadecimal.
How it Works
The binary to decimal conversion is done using the formula: decimal = Σ (binary_digit * 2^position), where position starts from 0 for the rightmost digit and increases to the left.
| Binary Number | Decimal Number |
|---|---|
| 1010 | 10 |
| 1101 | 13 |
| 1001 | 9 |
| 1111 | 15 |
The BCD to hexadecimal conversion is done using the formula: hexadecimal = BCD_number (in decimal form), where each BCD digit is converted to its corresponding hexadecimal value.
| BCD Number | Hexadecimal Number |
|---|---|
| 1001 | 9 |
| 1101 | D |
| 1111 | F |
| 1010 | A |
Common Use Cases
- Converting binary numbers to decimal for programming purposes
- Converting BCD numbers to hexadecimal for embedded systems
- Understanding the relationship between binary, decimal, and hexadecimal number systems
- Solving mathematical problems that involve different number systems
- Debugging code that uses binary or BCD numbers
- Validating user input for binary or BCD numbers
- Generating random numbers in different number systems
- Converting data between different number systems for data analysis
- Implementing encryption algorithms that use binary or BCD numbers
- Developing software that requires conversion between binary, decimal, and hexadecimal number systems