Question

A sequential circuit has one input X and one output Z. Z=1 when there are two consecutive 0's or three consecutive 1's as the input. Draw a Mealy state graph for the circuit that uses only 4 states

Answer 1

To design a Mealy state graph for the given sequential circuit, four states are used. The states are labeled A, B, C, and D, with specific transitions based on the input X. The Mealy state graph represents the behavior of the circuit.

Step-by-step explanation:

A Mealy state graph represents the behavior of a sequential circuit. In this case, we need to design a Mealy state graph for a circuit with one input X and one output Z. The output Z is 1 when there are two consecutive 0's or three consecutive 1's as the input. We are required to use only 4 states.

Let's label the states as A, B, C, and D. In state A, the input X can transition the circuit to state B or C. In state B, if X is 0, the circuit remains in state B, but if X is 1, it transitions to state C. In state C, if X is 0, it transitions to state D, and if X is 1, it remains in state C. In state D, if X is 0, it remains in state D, but if X is 1, it transitions back to state A.

The Mealy state graph can be represented as follows:

A --(0)--> B
A --(1)--> C
B --(0)--> B
B --(1)--> C
C --(0)--> D
C --(1)--> C
D --(0)--> D
D --(1)--> A