Binary - Gray Code Conversion with Solved Examples



Binary - Gray Code Converter


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Binary - Gray Code Converter - an online tool to perform binary to grey code or grey code to binary conversion. Truth table & example conversion may useful to understand such operations in digital electronics & communications. Select the radio button to perform the appropriate conversion. Both the conversions can be done by using the below EX-OR gate logic.
EX-OR gate truth table

Binary to Gray Code Conversion

This conversion method strongly follows the EX-OR gate operation between binary bits . The below steps & solved example may useful to know how to perform binary to grey code conversion.

1. To convert binary to grey code, bring down the most siginificant digit of the given binary number, because, the first digit or most siginificant digit of the grey code number is same as the binary number.
2. To obtain the successive grey coded bits to produce the equivalent grey coded number for the given binary, add the first bit or the most siginificant digit of binary to the second one and write down the result next to the first bit of grey code, add the second binary bit to third one and write down the result next to the second bit of grey code, follow this operation until the last binary bit and write down the results based on EX-OR logic to produce the equivalent grey coded binary.

Solved Example :
The below solved example may useful to understand how to perform binary to grey code conversion.

Problem
Find the equivalent grey code for the binary 111012.

Solution :
binary to grey code conversion solved example

Grey Code to Binary Conversion

This conversion method also follows the EX-OR gate operation between grey & binary bits. The below steps & solved example may useful to know how to perform grey code to binary conversion.

1. To convert grey code to binary, bring down the most siginificant digit of the given grey code number, because, the first digit or the most siginificant digit of the grey code number is same as the binary number.
2. To obtain the successive second binary bit, perform the EX-OR operation between the first bit or most siginificant digit of binary to the second bit of the given grey code.
3. To obtain the successive third binary bit, perform the EX-OR operation between the second bit or most siginificant digit of binary to the third MSD (most significant digit) of grey code and so on for the next successive binary bits conversion to find the equivalent.

Solved Example :
The below solved example may useful to understand how to perform grey code to binary conversion.

Problem
Find the equivalent binary number for the grey code 1010.

Solution :
grey code to binary conversion solved example

In digital electronics & communications, the conversion between different number systems play vital role to perform various operations. The above solved examples for binary to grey code and grey code to binary conversions may useful to understand how to perform such calculations, however, when it comes to online, this binary - grey code converter may useful to perform such conversions as easy & quick as possible.