Question

A Moore sequential circuit has one input X and one output Z. The output is high if and only if the most recent input was 0 and is preceded by the input pattern X=110. Derive a state table for the circuit.

Answer 1

To derive a state table for a Moore sequential circuit with specific conditions, follow these steps: create a table, fill in the initial state and output, fill in the next state, and fill in the output for each combination of current state and input.

Step-by-step explanation:

A Moore sequential circuit has one input X and one output Z. The output is high if and only if the most recent input was 0 and is preceded by the input pattern X=110. To derive a state table for the circuit, follow these steps:

1. Create a table with columns for the current state (S), the input (X), the next state (S'), and the output (Z).
2. Fill in the initial state and output. If the current input is 0 and the previous input pattern is X=110, then the output is high.
3. Fill in the next state for each combination of current state and input. Since the output depends on the previous input pattern, the next state will remain the same unless the current input is 0 and the previous input pattern was X=110.
4. Fill in the output for each combination of current state and input. The output is high if the current input is 0 and the previous input pattern was X=110.

This table represents the state diagram for the Moore sequential circuit.