:PROPERTIES: :ID: f3184f6d-9e92-4317-8f7b-0fa884a94b03 :mtime: 20231020030726 :ctime: 20231020030717 :END: #+title: modified state transition table #+filetags: :public:project: * Modified State transition table - In addition to columns representing the current and desired next states (as in a conventional state transition table), the modified table has additional columns representing the required FF inputs to achieve the next desired FF states * Example: 0-7 counter using 3 [[id:b536582a-66cc-4239-801f-6136ab4b919d][flip-flops]] | Q_2 | Q_1 | Q_0 | Q_2' | Q_1' | Q_0' | D_2 | D_1 | D_0 | |-----+-----+-----+------+------+------+-----+-----+-----| | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | For a 0 to 7 counter, 3 D-type FFs are needed The procedure is to: Write down the desired count sequence in the current state columns Write down the required next states in the next state columns Fill in the FF inputs required to give the defined next state Note: Since (or ) for a D-FF, the required FF inputs are identical to the Next state