Final answer:
To design a Mealy FSM for detecting 0100 and 1100, one must create states for each step, draw transitions based on the input, and assign outputs with transitions for sequence detection. The state graph would have an initial state, intermediate states, and final detection states with outputs occurring during state transitions.
Step-by-step explanation:
To design a Mealy type finite state machine (FSM) for detecting the patterns 0100 and 1100, you will need to create a state diagram using bubbles. Each bubble represents a state, and transitions between them represent the input values. The Mealy machine will output a signal when it detects the given input sequences.
Steps for designing the FSM:
The completed graph will include an initial state, intermediate states for partial input sequences, and final states that signify the detection of 0100 or 1100. In a Mealy FSM, the output is generated during the transition rather than being associated with the state itself. Therefore, the output is directly dependent on the input and the current state.
For example, starting from the initial state (say S0), upon receiving a '0' or '1', the machine transitions to different states. Gradually, as the input string is received, the state transitions will reflect the partial detection of 0100 or 1100. The machine should have an output state where, upon completion of either sequence, it signals detection.