Hex to Gray Code Converter

Conversion from Hex to Gray Code

A Hex can be converted to Gray Code using these steps:-

1. Convert the input hex to binary
2. Take the first bit of the binary input and write it to the output
3. Repeat the following steps until you reach the end of the input
4. Take the second bit of the input and XOR it to the previous bit of the input
5. Write this result to the output. So, 0 + 0 = 0, 0 + 1 = 1, 1 + 0 = 1 and 1 + 1 = 0.

Example Hex to Gray Code Conversion

Let's say your Hex value is 0xad, and you want to convert it to its gray code form.

1. Step 1: Convert the input hex to binary. So, 0xad becomes 10101101
2. Step 2: Take the first bit of the binary input and write it to the output. Output is 1
3. Step 3: Repeat the steps below until you reach the end of the input
   • Take the second bit of the input and XOR it to the previous bit of the input. 1 + 0 = 1
   • Write the result to the output. Output: 11
   • Take the third bit of the input and XOR it to the previous bit of the input. 0 + 1 = 1
   • Write the result to the output. Output: 111
   • Take the fourth bit of the input and XOR it to the previous bit of the input. 1 + 0 = 1
   • Write the result to the output. Output: 1111
   • Take the fifth bit of the input and XOR it to the previous bit of the input. 0 + 1 = 1
   • Write the result to the output. Output: 11111
   • Take the sixth bit of the input and XOR it to the previous bit of the input. 1 + 1 = 0
   • Write the result to the output. Output: 111110
   • Take the seventh bit of the input and XOR it to the previous bit. 1 + 0 = 1
   • Write the result to the output. Output: 1111101
   • Take the eighth (last) bit of the input and XOR it to the previous bit. 0 + 1 = 1
   • Write the result to the output. Output: 11111011
4. Step 4: So, our final gray code result is: 11111011