How can I draw FA over {0, 1} which represent binaries of Integers only divisible by 3 and all leading 0’s are permissible?

Thanks in advance

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- April 25th 2008, 01:46 AMfarakhkhan@yahoo.comFinite Automata Question
How can I draw FA over {0, 1} which represent binaries of Integers only divisible by 3 and all leading 0’s are permissible?

Thanks in advance

- April 25th 2008, 08:03 AMAlvyda
What is FA?

- April 25th 2008, 09:52 AMIsomorphism
Hint:Let the binary number 'x' have k ones in it. Then .

But modulo 3 this reads:

.

However we want this to be 0 mod 3. Then can you figure out the constraint on s?

Quote:

Originally Posted by**Alvyda**