About the Gray to Decimal Converter
The Gray to Decimal Converter helps you quickly convert Gray code into decimal (base-10) numbers. Gray code is a binary numeral system where two successive values differ in only one bit, making it useful in digital systems and error correction.
Whether you're working in digital electronics, error correction, or data processing, the tool first converts your Gray code to plain binary, then to decimal — giving you an accurate result instantly without doing the bit-by-bit XOR conversion by hand.
How to Use This Tool
Enter a Gray code value
Type or paste a binary Gray code string, e.g. "1111".
Click "Convert to Decimal"
The Gray code is converted to plain binary, then to decimal (base-10).
Copy the result
Use the "Copy" button to save the decimal output.
Common Use Cases
Interpreting Rotary Encoder Output: Convert Gray code readings from a rotary encoder into a familiar decimal value.
Digital Electronics Coursework: Verify a manual Gray-to-decimal conversion done as part of a digital logic assignment.
Debugging Error-Correction Systems: Translate Gray-coded values into decimal while debugging a system.
Working with Karnaugh Maps: Convert Gray-coded map labels into decimal when documenting a digital design.
Why Use This Tool
Accurate Conversion
Converts Gray code to binary first, then to a precise decimal value.
Great for Learning
A clear, instant way to see how Gray code relates to binary and decimal systems.
Input Validation
Flags invalid input immediately if it contains anything other than 0s and 1s.