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Binary to Gray Code Converter

Use our Binary to Gray code converter a free online calculator / conversion tool to convert binary value into gray code.




Binary Codes

A symbolic representation of data / information is called code. The base or radix of the binary number is 2. Hence, it has two independent symbols. The symbols used are 0 and 1. A binary digit is called as a bit. A binary number consists of sequence of bits, each of which is either a 0 or 1. Each bit carries a weight based on its position relative to the binary point. The weight of each bit position is one power of 2 greater than the weight of the position to its immediate right. e. g. of binary number is 101011 which is equivalent to decimal number 43.

Gray Codes

It is a non-weighted code; therefore, it is not a suitable for arithmetic operations. It is a cyclic code because successive code words in this code differ in one bit position only i.e. it is a unit distance code

Applications of Gray Code

In instrumentation and data acquisition systems, where linear or angular displacement is measured. In shaft encoders, input-output devices, A/D converters and the other peripheral equipment



Binary to Gray Code Truth Table

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

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