# Gray Code to Binary Converter

This free online tool allows you to convert gray code numbers to binary representation code in a click without any hassle.

## Categories

#### Binary

Gray code is a binary code system named after its inventor Frank Gray. In Gray code, two adjacent values differ only by one bit. Gray code is a cyclic code that can cycle through all possible bit patterns without repeating. For example, a 3-bit Gray code sequence would be 000, 001, 011, 010, 110, 111, 101, and 100.

The Gray Code to Binary Converter is a tool used to translate Gray code into Binary code. The converter converts Gray code to Binary code by applying a series of logical operations. The XOR (exclusive OR) function is the foundation for the logical operations used in the converter. The XOR function compares the bits in the Gray code and identifies the corresponding bit in the Binary code.

## How to convert gray code to binary?

The process of converting a gray code number to its binary equivalent is known as gray code to binary conversion. An easy set of guidelines can be followed to complete the conversion. Write the most important portion of the gray code first, exactly as it is. Execute an XOR operation between the gray code bit and the previously obtained binary bit, starting with the second-most significant bit. The next binary bit will be the outcome of the XOR operation. The conversion of the gray code will result in the binary number after this process is repeated until all bits are covered.

## What is the binary code for 1011 Gray?

The binary code for 1011 Gray is 1100. The conversion of 1011 Gray to binary is done by following the steps mentioned above. Writing the most significant bit as it is, performing an XOR operation between the second-most significant gray bit and the previously obtained binary bit, and so on until the final binary code is obtained.

## What is the gray code 100101 to binary?

The gray code 100101 can be converted to binary by following the same set of rules mentioned earlier. Starting from the most significant bit, write it down as it is. Then, perform an XOR operation between the second-most significant gray bit and the previously obtained binary bit, and so on. By applying this process, the binary equivalent of the gray code 100101 is 110010.

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