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4 bit Binary to Gray converter using XOR

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Arif, Mohammed Nazrul Islam
Arif, Mohammed Nazrul Islam

The BINARY to GRAY CODE CONVERTER is a digital circuit that is used to convert the binary input into the corresponding equivalent gray code at its output

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Members: ARIF, Md. Nazrul Islam NIZAM, Shakib Bin AHMED, Tanveer ALIMUZZAMAN, Mohammad 4-Bit BINARY TO GRAY CONVERSION
Introduction ? The BINARY to GRAY CODE CONVERTER is a digital circuit that is used to convert the binary input into the corresponding equivalent gray code at its output. ? The circuit is a simple digital circuit which employs the use of Ex-OR gate IC for its operation. The output of the circuit (Gray code)finds various practical applications
Theory and Methodology ? Gray Code: The most important feature of grey code is that it exhibits only a single bit change from one code to the next. Its also known as the Reflected Binary Code. Its named after ¡°Frank Gray¡±. ? Like binary numbers the Gray code can have any numbers of bits. For instance in going from decimal 3 to 4,the Gray Code changes from 0010 to 0110 whole the binary code changes from 0011 to 0100 a change of 3bits.The only bit change is in the third bit from the right in the gray code; the other remains the same.
XOR Operation ? The output of an XOR is HIGH only when the two inputs are at opposite logic level. It means output X is HIGH when input A is LOW ,B is HIGH and when A is HIGH B is low Output is LOW.
The table shows the Binary code and its corresponding Gray code
CONVERTING BINARY TO GRAY ? 1)The most significant bit(MSB) in GRAY and BINARY code is similar. ? 2) Other bits are obtained by XOR operation of two Adjacent binary bits.
EQUIPMENTS ? Trainer Board ? Switch 4 pc ? Register 8 pc ( 270 ohm) ? LED 8 pc (4 green,4 red) ? XOR gate (SN74HC86N) 1 pc ? 7805v Regulator ? Connecting Wire
CIRCUIT DIAGRAM
IMPLEMENTED CIRCUIT YouTube link: www.youtube.com/watch?v=xKQrupWHDLk
Applications ? Gray codes are useful in situations where analog information is being converted to digital information or vice versa. ? The Gray code was originally designed to prevent spurious output from electromechanical switches. Today, Gray codes are widely used to facilitate error correction in digital communications such as in television and some cable TV systems. ? Gray codes are used in labeling the axes of Karnaugh maps.
Conclusion ? The circuit is very compact and handy and has wide applications. It finds its application mostly in the communication field. ? The simple design and low manufacturing cost are the added advantage.
COST ANALYSIS ? Breadboard =230tk ? Switch -4pc = 20tk ? Register -8pc =15tk ? LED 8pc =10tk ? XOR gate(SN74HC86N) 1Pc=10 tk ? 7805v regulator =10tk ? Total cost for the project is 300tk approximately.
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4 bit Binary to Gray converter using XOR

  • 1. Members: ARIF, Md. Nazrul Islam NIZAM, Shakib Bin AHMED, Tanveer ALIMUZZAMAN, Mohammad 4-Bit BINARY TO GRAY CONVERSION
  • 2. Introduction ? The BINARY to GRAY CODE CONVERTER is a digital circuit that is used to convert the binary input into the corresponding equivalent gray code at its output. ? The circuit is a simple digital circuit which employs the use of Ex-OR gate IC for its operation. The output of the circuit (Gray code)finds various practical applications
  • 3. Theory and Methodology ? Gray Code: The most important feature of grey code is that it exhibits only a single bit change from one code to the next. Its also known as the Reflected Binary Code. Its named after ¡°Frank Gray¡±. ? Like binary numbers the Gray code can have any numbers of bits. For instance in going from decimal 3 to 4,the Gray Code changes from 0010 to 0110 whole the binary code changes from 0011 to 0100 a change of 3bits.The only bit change is in the third bit from the right in the gray code; the other remains the same.
  • 4. XOR Operation ? The output of an XOR is HIGH only when the two inputs are at opposite logic level. It means output X is HIGH when input A is LOW ,B is HIGH and when A is HIGH B is low Output is LOW.
  • 5. The table shows the Binary code and its corresponding Gray code
  • 6. CONVERTING BINARY TO GRAY ? 1)The most significant bit(MSB) in GRAY and BINARY code is similar. ? 2) Other bits are obtained by XOR operation of two Adjacent binary bits.
  • 7. EQUIPMENTS ? Trainer Board ? Switch 4 pc ? Register 8 pc ( 270 ohm) ? LED 8 pc (4 green,4 red) ? XOR gate (SN74HC86N) 1 pc ? 7805v Regulator ? Connecting Wire
  • 9. IMPLEMENTED CIRCUIT YouTube link: www.youtube.com/watch?v=xKQrupWHDLk
  • 10. Applications ? Gray codes are useful in situations where analog information is being converted to digital information or vice versa. ? The Gray code was originally designed to prevent spurious output from electromechanical switches. Today, Gray codes are widely used to facilitate error correction in digital communications such as in television and some cable TV systems. ? Gray codes are used in labeling the axes of Karnaugh maps.
  • 11. Conclusion ? The circuit is very compact and handy and has wide applications. It finds its application mostly in the communication field. ? The simple design and low manufacturing cost are the added advantage.
  • 12. COST ANALYSIS ? Breadboard =230tk ? Switch -4pc = 20tk ? Register -8pc =15tk ? LED 8pc =10tk ? XOR gate(SN74HC86N) 1Pc=10 tk ? 7805v regulator =10tk ? Total cost for the project is 300tk approximately.