How to write Gray Code

Gray code

 Here I'm telling you a direct method to write Gray code.

Gray code is the reflection of decimal number. And reflection is always in reversed of original.

Gray code writing depends on 2ᴺ.

  For N=1 

Here we discus 0 and 1 number only.

Write 0 and 1 in vertical line in decimal.

Decimal             Gray code

   0              →              0

   1         →              1

It shows that gray code of 0 is 0 and gray code of 1 is 1.

  For N=2

Here we discus 0,1,2,3 numbers only. Follow these steps.

a.       Write 0,1,2 and 3 in vertical line in decimal.

Decimal

0

1

2

3

b.      For every power of N remember its previous power to write the exact gray code.

c.       Copy gray code of power N=1 in vertical line in front of step a.

Decimal            Gray code

0           →                0

1           →                1

2

3

d.      Copy the reverse of step a in step c in front of 2 and 3 decimal number.

Decimal            Gray code

0          →             0

1          →             1

2          →             1

3          →             0

e.      Now write 0 with original gray code of N=1 and write 1 with reversed gray code of N=1 on left side.

Decimal            Gray code

0         →                 0  0

1         →                 0  1

2         →                 1  1

3         →                 1  0

This is the decimal to gray code conversion.

Note:

For N=3,4,5,6,.......... so on

The same steps will be followed as mentioned above.

For N=2 the remembering power is N=1.

For N=3 the remembering power is N=2.

For N=4 the remembering power is N=3.

For N=5 the remembering power is N=4.

And so on...........