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A SEQUENCE DETECTOR that detects the sequence 00 must be designed whose present output z(k) is set to one when the past input u(k-1) is zero and the present input u(k) is also zero


Question #2. Design of a Sequential Circuit: A SEQUENCE DETECTOR that detects the sequence 00 must be designed whose present output z(k) is set to one when the past input u(k-1) is zero and the present input u(k) is also zero, where for the other three possible combinations of the input pair u(k-1), u(k) the present output z(k) is set to zero. 

The state diagram for a sequential circuit that detects the input sequence 00 discussed above is given below:

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a) Complete the state table shown below using the above state diagram.

image.png

b) 1 Use the excitation table for a D flip flop to complete the augmented state table, shown below, for the case where a D flip flop is used as memory. 

image.png

c) Derive the output and D flip flop equations of the sequential circuit from the augmented state table. 

d) Draw the sequential circuit that implements the sequence detector of the sequence 00.

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