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Is there any formula to directly calculate the number of GRAY CODES possible?

say like for 1 bit  number of gray code possible =  ...

say like for 2 bits  number of gray code possible =  ....

say like for 3 bist  number of gray code possible =  ....

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i think here question means that how many possible gray code sequence ( one bit difference sequence ) are possible with 2^n code

Now, consider n=1.

The only Gray code possible is {0,1} {0,1}.

For n=2

only two Gray code exists {00,10,11,01} {00,10,11,01}

you check it for n=3 yourself

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