![]() Now add prefix 0 for original previous code and prefix 1 for new generated code: 00, 01, 11, and 10.Add reversed codes in the following list: 0, 1, 1 and 0.Take previous code in sequence: 0 and 1.N-bit Gray code can be generated recursively using reflect and prefix method which is explained as following below. For example, 3 bit Gray codes can be contracted using K-map which is given as following below: Using Karnaugh (K) - map −You can construct Gray codes using other methods but they may not be performed in parallel like given above method. The hamming distance of two neighbours Gray codes is always 1 and also first Gray code and last Gray code also has Hamming distance is always 1, so it is also called Cyclic codes. Gray codes are used in rotary and optical encoders, Karnaugh maps, and error detection. So, the Gray code can eliminate this problem easily since only one bit changes its value during any transition between two numbers. ![]() Gray codes are very useful in the normal sequence of binary numbers generated by the hardware that may cause an error or ambiguity during the transition from one number to the next. ![]() The reflected binary code or Gray code is an ordering of the binary numeral system such that two successive values differ in only one bit (binary digit).
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