Octal to Gray Code Converter

Conversion from Octal to Gray Code

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

1. Convert the input octal 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 Octal to Gray Code Conversion

Let's say your Octal value is 255, and you want to convert it to its gray code form.

1. Step 1: Convert the input octal to binary. So, 255 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