In binary communications, these codes are used to examine clarity as well as error modification. A logic circuit can be used to convert binary code to gray code. The gray code is a non-weighted code since no weight is ascribed to the location of the bit. This allows all the bits in the sequence to be treated equally for determining the next state. For example, if the first bit in the sequence is 1 and the last bit is 1 then the cell will toggle between 0 and 1 every time a 1 is input. If the first bit in the sequence is 0 and the last bit is 1 then the cell will remain at 0.

Conversion from binary to gray code is useful when interfacing with components that cannot handle unbalanced signals (e.g., relays). Since gray code does not depend on the position of the bit in the sequence, all bits are treated equally and can be transmitted simultaneously. When converting back from gray code to binary, care should be taken when determining the next state for **each cell** since now some bits may be more important than others. For example, if four out of five cells are in **the same state** then it doesn't matter which cell is changed from 0 to 1 or from 1 to 0 because they will all toggle together.

Gray code has **many applications** in digital electronics. It's often used when transmitting data in order to minimize power consumption since all bits can be transmitted at once instead of one at a time.

The Gray Code It is a non-weighted code, not an arithmetic code. That is, no precise weights are allocated to the bit location. It has **a highly unique property** in that just one bit changes each time the decimal number is increased, as seen in fig. 1. Thus, if we were to start with any two digits, they would always be in a different position, even after many repetitions of the algorithm.

A gray code value is converted to a binary number using the Gray Code to Binary Converter. Gray code, named after Frank Gray, is a binary number system in which two consecutive values differ by only one bit. This means that each successive pair of numbers has one bit in common, allowing them to be placed next to each other without error when read sequentially.

For example, assuming we start with 0 and 1: 0 1 1 0 1 1 0 1 1 0 1 1.. This sequence has only one zero place. So it's equal to 11000001 which is also known as 49 in base 10.

Gray codes are commonly used for encoding **data structures** where insertions or deletions (or both) can change the sequence but where the end result is a repeatable sequence.

They are particularly useful for implementing **hash tables** and other forms of associative arrays.

There are several ways to generate a gray code sequence. One simple way is to start with **any non-zero number** and switch it with **every adjacent number** until there are no more switches. For example, if we start with 7 then 9 would be our first switch and 8 would be our second switch. Now we need only switch 7 and 9 to get **our final result**: 7 9 7 9 7 9 7 9 7 9..

A Gray code is a number encoding in which consecutive integers vary by one digit. The phrase "Gray code" is frequently used to refer to a "reflected" code, notably the binary reflected Gray code. However, this term can also be used for any sequence that varies by one digit at each position.

A binary reflected Gray code is a binary sequence in which adjacent bits are 1 except for the last bit, which may be 0 or 1 depending on the definition of "binary". That is, either a 1 or a 0 can occur at each position. If we start with all 1's and reflect it over **the middle line** (so now all 0's), then the first bit will remain 1 because it's in **its original position**, the next bit will remain 1 because it's two positions away from a 1, and so on. Thus, no bit will ever be repeated.

The first few terms of **the Gray code** are 1001, 1110, 1101, 1111, 1112.. This suggests that the period of the code should be five because there are five digits and each term is divisible by 5.