The Binary Coded Decimal (BCD) calculator is a tool used to convert decimal numbers into their binary coded decimal representations. This conversion process involves breaking down the decimal number into individual digits, converting each digit into its 4-bit BCD representation, and then combining these representations to form the final BCD representation.
Formula of Binary Coded Decimal Calculator
- Separate the Decimal Number into Individual Digits:
- Break down the decimal number you want to convert into its individual digits.
- Convert Each Digit to its 4-bit BCD Representation:
- Each decimal digit (0-9) has a corresponding 4-bit BCD representation. You can find conversion tables online or memorize them for common use.
- Combine the 4-bit BCD Representations:
- Concatenate the 4-bit BCD representations of each individual digit, forming the final BCD representation.
Table of General Terms
Here’s a table of common terms related to binary coded decimal:
| Decimal Digit | BCD Representation |
|---|---|
| 0 | 0000 |
| 1 | 0001 |
| 2 | 0010 |
| 3 | 0011 |
| 4 | 0100 |
| 5 | 0101 |
| 6 | 0110 |
| 7 | 0111 |
| 8 | 1000 |
| 9 | 1001 |
Example of Binary Coded Decimal Calculator
Let’s illustrate how the Binary Coded Decimal calculator works with an example:
Suppose we want to convert the decimal number 29 into its BCD representation.
- Separate the Decimal Number into Individual Digits:
- 2 and 9 are the individual digits of the decimal number 29.
- Convert Each Digit to its 4-bit BCD Representation:
- The digit 2 in decimal is represented as 0010 in BCD.
- The digit 9 in decimal is represented as 1001 in BCD.
- Combine the 4-bit BCD Representations:
- Concatenating the BCD representations of 2 and 9, we get 0010 1001, which is the BCD representation of the decimal number 29.
Most Common FAQs
A: Binary Coded Decimal (BCD) is a binary encoding of decimal numbers in which each digit of a decimal number is represent by a fixed number of binary bits.
A: BCD is commonly use in digital systems where decimal numbers need to be process and display, such as in digital clocks, calculators, and electronic displays. It allows for efficient and accurate representation of decimal numbers in binary form.
A: To convert a decimal number to BCD, you need to separate the number into individual digits, convert each digit to its 4-bit BCD representation, and then combine the BCD representations of all digits.
A: Yes, you can convert BCD back to decimal by reversing the process. That is, you separate the BCD representation into groups of 4 bits, convert each group to its decimal equivalent, and then combine the decimal digits.
