pattern detector need help

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ricoseeds

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Draw a synchronous sequential circuit with a single input line x and a single output line z ,so as to produce an output z=1 whenever a input sygnal completes a sequence of 4 identical bits,the out is 0 otherwise.Please write the boolean function expression
 

Half 8bit Shift Register +
4 EX-OR gates +
1 4-Input OR gate


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