2. Design a finite state machine to control a device which consists of five sensors lined up in a row, controlled by the finite state machine's outputs Zero, One, Two, Three, and Four. The five sensors scan an area outside a building. Each sensor scans one part of that area. When the sensor's output is one, it is scanning its area, and when the sensor's output is zero, it is not scanning its area. Only one sensor is on at a time meaning that each sensor takes a turn at being the sensor that is currently on. This turn taking follows a back- and-forth motion going from left to right and then going from right to left. It is this "motion" that the finite state machine controls. The clock speed (which you do not need to know) regulates the rate of the motion. There are no inputs for the finite state machine. a. Draw the State Diagram for the controller on page 4 of your answer sheet document using either method I or II. I. II. You can use the shapes and drawing tools of Microsoft Word to create the state diagram directly on page 4 of your answer document Or, you can draw the state diagram on a piece of paper, take a picture of your drawing, and then insert the picture on page 4 of your answer document. Make sure the picture fits entirely on page 4. You can resize a picture in a Word document. b. Then, name the states of the controller and assign state numbers to the states in the state mapping table on page 5 of your answer document. c. Then, use the state mapping table and your state diagram to complete the next state function and output function truth tables on page 5 of your answer document. Use "don't cares" (X) for inputs and outputs as needed. d. Finally, write the simplified Boolean equation for the outputs (NS0, NS₁, and NS₂) of the next state function and the outputs (Zero, One, Two, Three, and Four) for the output function on page 6 of your answer document. Use Microsoft Word's built-in equation editor.

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ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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The simplified Boolean equations for the Sensor Device Finite State Machine Controller:
NS =
NS₁
NS₂ =
=
Zero =
One =
Two =
Three =
Four =
Transcribed Image Text:The simplified Boolean equations for the Sensor Device Finite State Machine Controller: NS = NS₁ NS₂ = = Zero = One = Two = Three = Four =
2.
Design a finite state machine to control a device which consists of five sensors lined up in a row,
controlled by the finite state machine's outputs Zero, One, Two, Three, and Four. The five sensors scan an
area outside a building. Each sensor scans one part of that area. When the sensor's output is one, it is scanning
its area, and when the sensor's output is zero, it is not scanning its area. Only one sensor is on at a time
meaning that each sensor takes a turn at being the sensor that is currently on. This turn taking follows a back-
and-forth motion going from left to right and then going from right to left. It is this "motion" that the finite
state machine controls. The clock speed (which you do not need to know) regulates the rate of the motion.
There are no inputs for the finite state machine.
a. Draw the State Diagram for the controller on page 4 of your answer sheet document using either method
I or II.
I.
II.
You can use the shapes and drawing tools of Microsoft Word to create the state diagram directly
on page 4 of your answer document
Or, you can draw the state diagram on a piece of paper, take a picture of your drawing, and then
insert the picture on page 4 of your answer document. Make sure the picture fits entirely on page
4. You can resize a picture in a Word document.
b. Then, name the states of the controller and assign state numbers to the states in the state mapping table on
page 5 of your answer document.
c. Then, use the state mapping table and your state diagram to complete the next state function and output
function truth tables on page 5 of your answer document. Use "don't cares" (X) for inputs and outputs as
needed.
d. Finally, write the simplified Boolean equation for the outputs (NS0, NS₁, and NS₂) of the next state
function and the outputs (Zero, One, Two, Three, and Four) for the output function on page 6 of your
answer document. Use Microsoft Word's built-in equation editor.
Transcribed Image Text:2. Design a finite state machine to control a device which consists of five sensors lined up in a row, controlled by the finite state machine's outputs Zero, One, Two, Three, and Four. The five sensors scan an area outside a building. Each sensor scans one part of that area. When the sensor's output is one, it is scanning its area, and when the sensor's output is zero, it is not scanning its area. Only one sensor is on at a time meaning that each sensor takes a turn at being the sensor that is currently on. This turn taking follows a back- and-forth motion going from left to right and then going from right to left. It is this "motion" that the finite state machine controls. The clock speed (which you do not need to know) regulates the rate of the motion. There are no inputs for the finite state machine. a. Draw the State Diagram for the controller on page 4 of your answer sheet document using either method I or II. I. II. You can use the shapes and drawing tools of Microsoft Word to create the state diagram directly on page 4 of your answer document Or, you can draw the state diagram on a piece of paper, take a picture of your drawing, and then insert the picture on page 4 of your answer document. Make sure the picture fits entirely on page 4. You can resize a picture in a Word document. b. Then, name the states of the controller and assign state numbers to the states in the state mapping table on page 5 of your answer document. c. Then, use the state mapping table and your state diagram to complete the next state function and output function truth tables on page 5 of your answer document. Use "don't cares" (X) for inputs and outputs as needed. d. Finally, write the simplified Boolean equation for the outputs (NS0, NS₁, and NS₂) of the next state function and the outputs (Zero, One, Two, Three, and Four) for the output function on page 6 of your answer document. Use Microsoft Word's built-in equation editor.
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