Q11

A sequential circuit takes an input stream of $0's$ and $1's$ and produces an output stream of $0's$ and $1's.$ Initially it replicates the input on its output until two consecutive $0's$ are encountered on the input. From then onward, it produces an output stream, which is the bit-wise complement of input stream until it encounters two consecutive 1's, whereupon the process repeats. An example input and output stream is shown below. $\begin{array}{ll} \text{The input stream:} & 101100|01001011|011\\ \text{The desired output:}& 101100|10110100|011\\ \end{array}$ $\text{J-K}$ master-slave flip-flops are to be used to design the circuit.