A 1-input, 2-output synchronous sequential circuit behaves as follows :Let zk, nk denote the number of 0’s and 1’s respectively in initial k bits of the input (zk + nk = k). The circuit outputs 00 until one of the following conditions holds. zk - nk = 2. In this case, the output at the k-th and all subsequent clock ticks is 10. nk - zk = 2. In this case, the output at the k-th and all subsequent clock ticks is 01.What is the minimum number of states required in the state transition graph of the above circuit?(A) 5(B) 6(C) 7(D) 8

A 1-input, 2-output synchronous sequential circuit behaves as follows

1.	A 1-input, 2-output synchronous sequential circuit behaves as follows :Let zk, nk denote the number of 0’s and 1’s respectively in initial k bits of the input (zk + nk = k). The circuit outputs 00 until one of the following conditions holds. zk - nk = 2. In this case, the output at the k-th and all subsequent clock ticks is 10. nk - zk = 2. In this case, the output at the k-th and all subsequent clock ticks is 01.What is the minimum number of states required in the state transition graph of the above circuit?(A) 5(B) 6(C) 7(D) 8
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