Difference between revisions of "CSC270 Exercises on FSM"

From dftwiki3
Jump to: navigation, search
(Exercise #1)
(Exercise #5)
 
(5 intermediate revisions by the same user not shown)
Line 12: Line 12:
 
<br />
 
<br />
  
<center>[[Image:GYRSequencer1.png]]</center>
+
<code><pre>
<br />
+
 
 +
        +---------+              +--------
 +
        |        |       |
 +
  G -----+        +-------------------+
 +
                  +---------+
 +
                  |        |
 +
  Y ---------------+        +-----------------
 +
                            +---------+
 +
                            |        |
 +
  R -------------------------+        +-------
 +
 
 +
 
 +
</pre></code>
  
 
<br />
 
<br />
Line 63: Line 75:
  
  
* Same question, but solve it with Python.
+
* Same question, but solve it with Python.  
 +
* You may find the  [[CSC270 Python Operators for Simulation | Python Logic Operators Example Page]] useful for this exercise.
 +
 
 +
==Exercise #6==
 +
 
 +
* What is the state diagram of this FSM?
 +
** D1= Q0
 +
** D0 = ( Q0 ^ Q1 )'
  
 +
* What happens when the flip-flops start in the state where Q0 and Q1 are both 1?
 
<br />
 
<br />
 
<br />
 
<br />
 
<br />
 
<br />
 +
<br />
 
<br />
 
<br />
 
<br />
 
<br />
Line 74: Line 95:
 
<br />
 
<br />
 
<br />
 
<br />
 +
<br />
 
<br />
 
<br />
 
<br />
 
<br />
Line 81: Line 103:
 
<br />
 
<br />
 
<br />
 
<br />
<br />
 
<br />
 
<br />
 
<br />
 
<br />
 
<br />
 
<br />
 
<br />
 
<br />
 
<br />
 
<br />
 
<br />
 
<br />
 
<br />
 
<br />
 
<br />
 
<br />
 
<br />
 
<br />
 
 
 
<onlydft>
 
<onlydft>
 
<code><pre>
 
<code><pre>
Line 164: Line 166:
 
19  1  1  1
 
19  1  1  1
  
 +
</pre></code>
 +
 
</onlydft>
 
</onlydft>
 
 
<br />
 
<br />
  

Latest revision as of 10:13, 2 March 2012

--D. Thiebaut 15:24, 28 February 2011 (EST)


Exercise #1

  • Implement a sequencer (FSM) which activates 3 Lights: a green light, a yellow light, and a red light. The behavior of the FSM is the following:
    • the green light stays on for 30 seconds, then
    • the yellow light comes on and stays on for 30 seconds, then
    • the red light comes on and stays on for 30 seconds, then we repeat the pattern.
    • There is only one light on at a given time.
  • What is the frequency of your clock signal?





         +---------+  	      	       +--------
         |         |		       |
  G -----+         +-------------------+
                   +---------+
                   |         |
  Y ---------------+         +-----------------
                             +---------+
                             |         |
  R -------------------------+         +-------













Exercise #2

  • Same as Exercise 1, but this time the behavior is the following
    • the green light comes on after the red light and stays on for 30 seconds,
    • the yellow light comes on and stays on for the next for 15 seconds,
    • the red light comes on after the yellow light for 30 seconds.
  • What is the frequency of your clock signal?


GYRSequencer2.png


Exercise #3

  • Create a "true" frequency divider that divides by 4.

Exercise #4

  • What is the state diagram of the 3-flip-flop circuit with the following equations:
     D0 = Q0'
     D1 = Q0 XOR Q1
     D2 = Q1 XOR Q2

Exercise #5

Exercise #6

  • What is the state diagram of this FSM?
    • D1= Q0
    • D0 = ( Q0 ^ Q1 )'
  • What happens when the flip-flops start in the state where Q0 and Q1 are both 1?




















...