Considering $(76)10=($abcdefg$)2,$design a synchronous sequence detector circuit that detects $$abcdefg$$from a serial input stream of one bit applied to the input of the circuit with each active clock edge. The sequence detector should not detect overlapping sequences.

$($a$)$Derive the state diagram and clearly describe the meaning of each state. Specify the type of sequential circuit $($Mealy or Moore$).$

$($b$)$Determine the number of state variables to use and assign binary codes to the states in the state diagram.

$($c$)$Choose JK FFs for the implementation. Give the complete state table of the sequence detector using the reverse characteristics table of JK FF$.$

$($d$)$Obtain Boolean functions for state inputs. Also, obtain the output Boolean expression.

$($e$)$Draw the corresponding logic circuit diagram for the sequence detector

Can you show me by drawing the diagram and write the table completely and finally draw the logic circuit diagram?