Convert BCD to Binary using this simple and reliable BCD to binary converter online. Just enter your BCD code and get the binary equivalent instantly.
BCD to Binary Converter
How to Convert BCD to Binary
To convert BCD to binary, each BCD digit (which represents a decimal digit using 4 bits) is extracted and then converted to its binary form. The final binary result is simply the equivalent of the entire decimal number represented by the BCD.
Example:
BCD: 0010 0100
Decimal: 2 and 4 → 24
Binary: 11000
BCD to Binary Formula
There’s no direct mathematical formula for converting BCD to binary, but the process follows a simple logic:
1. Group each 4-bit section of the BCD input.
2. Convert each group to decimal.
3. Combine the decimal digits to form a complete decimal number.
4. Convert the decimal number to binary.
BCD to Binary Algorithm
Here’s the basic bcd to binary algorithm step-by-step:
Split the BCD input into 4-bit chunks.
Convert each 4-bit chunk to its decimal digit.
Concatenate all the decimal digits.
Convert the final decimal number to binary.
BCD vs Binary
| Feature | BCD | Binary |
|---|---|---|
| Representation | Each decimal digit encoded in 4 bits | A single binary number |
| Efficiency | Less efficient storage | More compact |
| Use Case | Often used in calculators and digital clocks | Used in general computing |
| Complexity | Easier for human interpretation | More complex for decimal display |
What is BCD?
BCD (Binary Coded Decimal) is a class of binary encodings where each decimal digit is represented by a fixed number of bits, usually four. It’s commonly used in digital systems where decimal numbers need to be displayed, like in digital clocks or calculators.
What is the BCD code for 8 4 2 1?
The 8421 code is the standard BCD code, where each digit is represented as follows:
- 8 =
1000 - 4 =
0100 - 2 =
0010 - 1 =
0001
Together they form individual 4-bit representations of each digit.
What is the binary representation of BCD number 00101001?
Let’s break it down:
0010 = 2
1001 = 9
So the BCD represents the decimal number 29.
→ Binary of 29 = 11101
Also see:
