a. Draw the State Diagram for the controller b. Then, name the states of the controller and assign state numbers to the states in the state mapping table. 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.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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 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 backand-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

b. Then, name the states of the controller and assign state numbers to the states in the state mapping table.

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.

PLEASE USE THE TABLES BELOW  TO FULFILL THE QUESTION REQUIREMENT: PLEASE PLEASE\!!!!!!!!!!!

 

 

Page 5 of 6
State Mapping Table for the Sensor Device Finite State Machine Controller:
1
1
1
Si So State Name
0 0
0
1
1
0
1
1
0
0
0
1
1
0
1 1 1
Next State Function Truth Table for the Sensor Device Finite State Machine Controller:
1
0
0
S₂
0
0
PS₂
0
0
0
0
1
1
1
1
1
1
0
0
1
1
1
Present State
PS₁
0
0
1
1
1
0
0
0
1
1
0
1 1
Output Function Truth Table for the Sensor Device Finite State Machine Controller:
Outputs
Two Three Four
Present State
PS₂ PS₁ PSo Zero One
0
0
0
0
0
1
0
1
0
0
1
PSD NS2
0
1
0
1
0
1
0
1
Next State
NS₁ NSo
Transcribed Image Text:Page 5 of 6 State Mapping Table for the Sensor Device Finite State Machine Controller: 1 1 1 Si So State Name 0 0 0 1 1 0 1 1 0 0 0 1 1 0 1 1 1 Next State Function Truth Table for the Sensor Device Finite State Machine Controller: 1 0 0 S₂ 0 0 PS₂ 0 0 0 0 1 1 1 1 1 1 0 0 1 1 1 Present State PS₁ 0 0 1 1 1 0 0 0 1 1 0 1 1 Output Function Truth Table for the Sensor Device Finite State Machine Controller: Outputs Two Three Four Present State PS₂ PS₁ PSo Zero One 0 0 0 0 0 1 0 1 0 0 1 PSD NS2 0 1 0 1 0 1 0 1 Next State NS₁ NSo
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