Answer / Explanation
The question provided is lacking in details. It can be searched for online. However, please see the complete question below:
A sequential circuit incorporates two inputs, w1 and w2, and an output z. Its function is to compare the input sequences of both inputs. If w1 equals w2 for any four consecutive clock cycles, the circuit outputs z=1; otherwise, z=0.
For example:
w1:0110111000110
w2:1110101000111
z:0000100001110
Please illustrate the state diagram using the minimum number of states.
Answer:
To accurately address this inquiry, we first need to clarify what a sequential circuit is and how input sequences function.
To begin with, a sequential circuit
is identified as a specific type of system used in the digital field, particularly crucial in digital circuit theory. It is structured in such a way that its output depends not only on the present input signal values but also on the sequence of one or more past inputs and outputs that are relevant.
Input sequence:
This references the ordered pattern in which data values are inputted into the circuit.
Revisiting the question, we note that for scoring each state:
+1 for each accurate transition = 2 total per state
+2 for each correct output = 2 total per state
Total for each state = 4
Therefore, the maximum score is 4*5 = 20
Consequently,
If over 5 states are implemented but the logic remains sound: +10 for the entire response
Full credits for any alternative solution utilizing 5 states.
Additionally, it is important to note that input labeled as (w1 = w2), (w1 == w2), (w1 XOR w2), 00, 11, etc., are also acceptable
It is worth mentioning that the presented solution employs more machinery. One can also utilize a Mealy machine, where only 4 states suffice. Even with 5 states, no points will be deducted.
In summary, X = w1 XOR w2
The required diagram for a clearer understanding of the question is provided below.
