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Digital logic code converter

Gray to Binary Code Converter

Convert Gray code to binary code instantly. Enter any valid Gray code, get binary output, view step-by-step XOR logic, reverse binary to Gray, copy the result, and download it as TXT.

Gray to Binary Binary to Gray Step-by-Step

Fast code conversion for digital logic

Useful for electronics, computer science, digital circuits, Karnaugh maps, counters, encoders, and binary number practice.

Free Gray to Binary Code Converter Tool

Enter Gray code, choose conversion mode, and calculate accurate binary code with full working steps.

Input Code

Converted Output

Gray Input Type
Binary Output Type
0 Total Bits
0 Lines Converted

Conversion Steps

Enter a code and click Convert Code to view the step-by-step process.

Quick Examples

Gray code uses only 0 and 1. Each adjacent Gray code value changes by only one bit, which makes it useful in digital systems.

Why Use a Gray to Binary Code Converter?

Gray code is common in digital electronics, but binary code is easier to calculate and process in many systems.

Accurate Code Conversion

Convert Gray code to binary using standard XOR logic with instant validation.

Reverse Mode

Switch from Gray to binary or binary to Gray without using another calculator.

Step-by-Step Explanation

See how every output bit is calculated, making the tool useful for students and circuit practice.

What Is Gray to Binary Conversion?

Gray to binary conversion changes reflected binary Gray code into normal binary code. In Gray code, two consecutive values differ by only one bit, which helps reduce errors in digital counters and encoders.

To convert Gray to binary, keep the first bit the same. Then calculate each next binary bit by using XOR between the previous binary bit and the current Gray bit.

Binary[0] = Gray[0]
Binary[n] = Binary[n - 1] XOR Gray[n]

How It Works

Convert Gray code to binary in three simple steps.

Enter Gray Code

Type a valid Gray code using only 0 and 1. You can also paste multiple lines.

Run Conversion

The tool applies XOR logic to convert Gray code into binary code.

Copy Result

Copy the converted binary output or download it as a TXT file.

Gray to Binary Code Converter FAQs

Common questions about Gray code, binary code, and XOR conversion.

Gray code is a binary numeral system where two consecutive values differ by only one bit.
The first binary bit is the same as the first Gray bit. Each next binary bit is previous binary bit XOR current Gray bit.
Yes. Choose Binary to Gray Code mode to reverse the conversion.
Yes. Paste each Gray code on a separate line, and the tool will convert each line separately.
No. This converter works with PHP, HTML, CSS, and JavaScript only. No API, database, or server dependency is needed.