Decimal to BCD Converter / Tool
| Decimal | Binary | Hexadecimal | |
|---|---|---|---|
| Integer | 1010 | A | |
| BCD | 16 | 10 |
This is a tool that runs in your browser and converts between decimal and BCD (Binary-coded decimal).
- When you enter a numerical value, it is automatically converted.
- BCD binary numbers are formatted when out of focus.
- If you enter a number that is not BCD in binary, an error message will be displayed.
What is BCD?
BCD (Binary-coded decimal) is a decimal number separated by one digit, each of which is represented by a four-digit binary number; BCD matches a decimal number when expressed in hexadecimal.
| DEC | BIN | HEX | BCD (BIN) | BCD (HEX) |
|---|---|---|---|---|
| 0 | 0000 | 0 | 0000 0000 | 0 |
| 1 | 0001 | 1 | 0000 0001 | 1 |
| 2 | 0010 | 2 | 0000 0010 | 2 |
| 3 | 0011 | 3 | 0000 0011 | 3 |
| 4 | 0100 | 4 | 0000 0100 | 4 |
| 5 | 0101 | 5 | 0000 0101 | 5 |
| 6 | 0110 | 6 | 0000 0110 | 6 |
| 7 | 0111 | 7 | 0000 0111 | 7 |
| 8 | 1000 | 8 | 0000 1000 | 8 |
| 9 | 1001 | 9 | 0000 1001 | 9 |
| 10 | 1010 | A | 0001 0000 | 10 |
| 11 | 1011 | B | 0001 0001 | 11 |
| 12 | 1100 | C | 0001 0010 | 12 |
| 13 | 1101 | D | 0001 0011 | 13 |
| 14 | 1110 | E | 0001 0100 | 14 |
| 15 | 1111 | F | 0001 0101 | 15 |
The decimal digits 0 to 9 are the same in hexadecimal, so they will be the same in BCD. 10 and above each digit is converted to a binary number respectively.
1 = 0001
0 = 0000
10 = 0001 0000
Four-digit binary numbers can originally represent decimal numbers from 0 to 15, but in BCD, the numbers from 10 (1010) to 15 (1111) are not used at all. Although this is a wasteful representation method for computers, it is easy for humans to read.