Binary to Gray Code Converter
Convert binary numbers into Gray Code instantly. Enter a binary value and get the equivalent Gray Code output with accurate digital electronics conversion.
Gray Code Result: -
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What is Gray Code?
Gray Code is a binary numbering system where adjacent values change by only one bit. It is widely used in digital electronics because it reduces errors during signal transitions.
Binary sequence: 000 001 010 011 Gray Code sequence: 000 001 011 010
How to Convert Binary to Gray Code
The conversion follows a simple XOR rule:
- The first Gray Code bit is the same as the first binary bit.
- Each following Gray bit is created by XORing the current binary bit with the previous binary bit.
Binary: 1011 Step conversion: First bit: 1 Second bit: 1 XOR 0 = 1 Third bit: 0 XOR 1 = 1 Fourth bit: 1 XOR 1 = 0 Gray Code: 1110
Binary to Gray Code Examples
| Binary | Gray Code |
|---|---|
| 0000 | 0000 |
| 0001 | 0001 |
| 0010 | 0011 |
| 0100 | 0110 |
| 1011 | 1110 |
Gray Code Applications
- Rotary encoder systems.
- Digital position measurement.
- Analog-to-digital converters.
- Communication systems.
- Digital circuit design.
Frequently Asked Questions
The first Gray bit is copied from the binary number. Each remaining Gray bit is calculated by XORing two neighboring binary bits.
Gray Code reduces errors in digital systems by allowing only one bit to change between consecutive values.
Gray Code uses binary digits but follows a different arrangement rule from normal binary numbers.
Yes. The converter works with different binary bit lengths directly in your browser.