Use the below tool to convert **gray code to binary**

Also Try:

## Binary number

Binary numbering system uses only two symbols 0 and 1. Each digits of a binary number is referred to as bits. Binary system is also known as *base -2 system*. Each digit is represented by the increasing power of 2 from the LSB (Least Significant Bit). Binary system is the heart of digital electronics and is used for information flow. In digital electronics, 0 and 1 are used to denote logic states, high and low. Arithmetic operations are also possible in binary system.

## Gray code

Gray code, also known as *reflected binary code*, is a code having digits 0 and 1. Gray code do not have place value for its digits. Any successive codes in Gray code system have only one bit changes.

## Gray code to binary conversion can be made easy with an example:

Let us convert 1010 from gray code to binary value:

**Step 1:** The MSB (Most Significant Bit) of a binary and gray code will be the same.

**Step 2:** The next digit of binary will be the EXOR of the MSB of binary and the second MSB of the gray code.

**Step 3:** Similarly EXOR the digit obtained in the previous step and the third MSB of gray code to obtain the third MSB of binary.

**Step 4:** Repeat the previous step till the LSB of gray code is found.

### Therefore, Binary corresponding to gray code 1010 is 1100.

### Read More: How to convert a gray code to a binary number

## Gray to Binary Conversion table

Decimal | Gray | Binary |
---|---|---|

0 | 0000 | 0000 |

1 | 0001 | 0001 |

2 | 0011 | 0010 |

3 | 0010 | 0011 |

4 | 0110 | 0100 |

5 | 0111 | 0101 |

6 | 0101 | 0110 |

7 | 0100 | 0111 |

8 | 1000 | 1100 |

9 | 1101 | 1001 |

10 | 1111 | 1010 |

11 | 1110 | 1011 |

12 | 1010 | 1100 |

13 | 1011 | 1101 |

14 | 1001 | 1110 |

15 | 1000 | 1111 |

Also Try:

- Binary to Decimal converter
- Binary to Octal converter
- Binary to Hexadecimal converter
- Binary to Gray code converter
- Decimal to Binary converter
- Decimal to Octal converter
- Decimal to Hexadecimal converter
- Decimal to Gray code converter
- Octal to Binary converter
- Octal to Decimal converter
- Octal to Hexadecimal converter
- Octal to Gray code converter
- Hexadecimal to Binary converter
- Hexadecimal to Decimal converter
- Hexadecimal to Octal converter
- Hexadecimal to Gray converter
- Binary converter
- Decimal converter
- Octal converter
- Hexadecimal converter
- Text to binary converter
- Text to hex converter
- Binary to text converter