Effortlessly convert Gray code to binary with our online tool. Understand the principles of reflective binary code and its utility in digital circuits, K-maps, and error detection. Get accurate conversions for any Gray code input, making your digital design and analysis tasks simpler.
Formula:
The conversion from Gray code to Binary follows a specific bitwise logic, proceeding from left to right (Most Significant Bit to Least Significant Bit):
- The Most Significant Bit (MSB) of the Binary number is directly equal to the MSB of the Gray code.
- For each subsequent bit, the Binary bit is calculated by performing an XOR (exclusive OR) operation between the previously calculated Binary bit and the current Gray code bit at the same position.
Let's consider a Gray code G = G0G1...Gn-1 and its Binary equivalent B = B0B1...Bn-1. The conversion logic is as follows:
B0 = G0 (MSB)
Bi = Bi-1 ⊕ Gi (for i = 1 to n-1, where ⊕ is the XOR operation)