Design a synchronous sequential circuit with one input line and one output line that recognizes the input string x = 1111. The circuit is also required to recognize overlapping sequence such that if the input string is x = 1101111111010 then the output will be z = 0000001111000. Use D Flip-Flops AND a separate design with JK Flip-Flops.
Discuss
1. State Table
2. State Diagram
3. Flip-Flop Excitation Tables
4. K-Map Simplification and resulting diagram