Use the below online conversion tool to convert any binary to gray code:

Binary Number
Gray Code

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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.

Binary to gray code conversion can be made easy with an example:

Let us convert a binary value of 1010 to gray code:

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

Binary to gray converter

Step 2: The next digit of gray code will be the EXOR of the MSB and the digit right to the MSB of the binary code.
Binary to gray converter

Step 3: Similarly EXOR the digit in place and the previous digit of binary code to obtain the next digit of gray code.
Binary to gray converter

Step 4: Repeat the previous step till the LSB of gray code is found.
Binary to gray converter

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

Decimal to binary to gray conversion table

DecimalBinaryGray
000000000
100010001
200100011
300110010
401000110
501010111
601100101
701110100
810001100
910011101
1010101111
1110111110
1211001010
1311011011
1411101001
1511111000

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