Difference between revisions of "CSC270 Exercises on FSM"
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Revision as of 17:39, 28 February 2011
--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.
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.
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
# implements a simple sequencer
#
def main():
# assume we start in a state where all 3 flip-flops are outputing 0
D0 = 0
D1 = 0
D2 = 0
for t in range( 20 ):
Q0 = D0
Q1 = D1
Q2 = D2
if t==0:
print "%2s %2s %2s %2s" % ( "t", "Q0", "Q1", "Q2" )
print "----|------------"
print "%2d %2d %2d %2d" % ( t, Q0, Q1, Q2 )
D0 = 1 - Q0
D1 = Q0 ^ Q1
D2 = Q1 ^ Q2
main()
Exercise #5
- Same question, but solve it with Python.