Table Q4.1 shows the state transition table for a finite state machine (FSM) with one input x, one output z and eight states.
(a) Copy the table of Table Q4.2 into your examination book and determine the states and outputs for the input listed, assuming a start current state of ‘1’. Determine what function the FSM is performing.
(b) Using the implication chart method, determine the minimal number of states. Show clearly your analysis.
(c) Draw the reduced state transition table.
(d) Using a straightforward data assignment for the reduced state transition table, determine the ROM contents for the circuit in Figure Q4.
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Table Q4.1 shows the state transition table for a finite state
machine (FSM) with one input...
(1) Write a regular expression for the language. (2) Define a finite state machine (FSM) that...
(1) Write a regular expression for the language. (2) Define a finite state machine (FSM) that recognizes words in the language (input alphabet, states, start state, state transition table, and accept states). Include a state digraph for the FSM. A: For alphabet {p,q,r}, all strings that contain the substring rqr or end with pp.
a) A synchronous finite state machine (FSM) is described by the state table in Fig. 3. Show how redundant states may...
a) A synchronous finite state machine (FSM) is described by the state table in Fig. 3. Show how redundant states may be found and eliminated to minimise this FSM. [15 marks) b) Derive Boolean equations for the implementation of the reduced FSM. (15 marks] Next state Output Current X1Xo state 00 01 11 10 Z1Zo A A F E C 00 B C B A 01 F A B C 00 G DİACİ 10 Figure 3 Tum over...
a) A...
Question 9 [7 Marks] A state table for a finite state machine (FSM) is given below....
Question 9 [7 Marks] A state table for a finite state machine (FSM) is given below. Output Next State w=0 w=1 Curr state 1 [6 marks[a) Using the state-minimization procedure, determine which of the 7 states in the FSM are equivalent to other states? Show your work for full marks (continue on next page if needed). [1 mark] b) Is this a Mealy or a Moore FSM?
Design a finite state machine that recognizes the input string "k", "klm", and "mkl" by outputing...
Design a finite state machine that recognizes the input string "k", "klm", and "mkl" by outputing a "1" (otherwise output "0" for the input). the input alphabet is {k, l, m}. the output alphabet is {0,1} i) Draw the FSM ii) Create the state transition table iii) what is the sequence of states for kkkllmklmkmmkm
1. FSM design. Design a clocked synchronous state machine with one input X, and an output...
1. FSM design. Design a clocked synchronous state machine with one input X, and an output Z. Z is 1 if 010 sequence pattern has occurred in the input X Otherwise, the output should be 0 For solution: a) Draw the state diagram. b) Write the state/output table. xcitation eqations and output equatio You do not have to draw the circuit diagram. Hint: Three states are needed (two D flip-flops) A: initial state waiting for a 0' from X B:...
Problem: Design a clocked synchronous state machine with two inputs A, and B, and a single...
Problem: Design a clocked synchronous state machine with two inputs A, and B, and a single output Z that is 1 is: .A had the same value at each of the two previous clock ticks, or B has been 1 since the last time that the first condition was true. In-Lab 1. 2. 3. 4. For the finite state machine (FSM), identify the minimum number of states required Draw the state transition diagram Complete the state transition table Derive the...
Given the following Mealy finite state machine (FSM): Reset State State Encoding A/O B/O SO S1...
Given the following Mealy finite state machine (FSM): Reset State State Encoding A/O B/O SO S1 S2 001 Bio AB/1 AIO Ā+BO a. Suppose one hot encoding is used to encode the states as given in ad- jacent table. Complete the state transition table and output table. (10 pts) b. Write Boolean equations for the next state and the output logic units. (10 pts) c. Sketch a schematic of the FSM. (10 pts)
0/3 D6.15 Write an assembly main program that implements this Mealy finite state machine. happy The FSM state graph...
0/3 D6.15 Write an assembly main program that implements this Mealy finite state machine. happy The FSM state graph, shown below, is givenP and cannot be changed. The input is on Port A bit 0 and the output is on Port B bits 3,2,1,0. There are three states (happy, hungry, sleepy), and initial state is happy. hungry 1/8 1/2 143 0/4 sleepy a) Show the ROM-based FSM data structure b) Show the initialization and controller software. Initialize the direction registers,...
Consider the following FSM state transition diagram: 7. Let's see if there is an equivalent state machine with fewe...
Consider the following FSM state transition diagram: 7. Let's see if there is an equivalent state machine with fewer states by checking to see if any states in the diagram above are equivalent. Two states are equivalent if (1) they have identical outputs and (2) for each possible combination of inputs they transition to equivalent states. A. Start by filling in a "compatibility table" like the one shown below. Place an "X" in square (SISI) if SI produces a different...
3. Finite State Machine. Using a ROM based finite state machine (FSM), design a bi-directional repetitive...
3. Finite State Machine. Using a ROM based finite state machine (FSM), design a bi-directional repetitive 3-bit modulo-6 (0,1,2,3,4,5) counter (see Table 3). The design has one input named Dir and three outputs named B2, B1 and BO. The outputs (B2, B1 and BO) are dependent upon being in the present state only. After each clock pulse, when Dir is at logic "O', the outputs (B2, B1, BO) step through the count sequence in following order:- 0,1,2,3,4,5. After each clock...
a) A synchronous finite state machine (FSM) is described by the state table in Fig. 3. Show how redundant states may be found and eliminated to minimise this FSM. [15 marks) b) Derive Boolean equations for the implementation of the reduced FSM. (15 marks] Next state Output Current X1Xo state 00 01 11 10 Z1Zo A A F E C 00 B C B A 01 F A B C 00 G DİACİ 10 Figure 3 Tum over...
a) A...
Question 9 [7 Marks] A state table for a finite state machine (FSM) is given below. Output Next State w=0 w=1 Curr state 1 [6 marks[a) Using the state-minimization procedure, determine which of the 7 states in the FSM are equivalent to other states? Show your work for full marks (continue on next page if needed). [1 mark] b) Is this a Mealy or a Moore FSM?
1. FSM design. Design a clocked synchronous state machine with one input X, and an output Z. Z is 1 if 010 sequence pattern has occurred in the input X Otherwise, the output should be 0 For solution: a) Draw the state diagram. b) Write the state/output table. xcitation eqations and output equatio You do not have to draw the circuit diagram. Hint: Three states are needed (two D flip-flops) A: initial state waiting for a 0' from X B:...
Problem: Design a clocked synchronous state machine with two inputs A, and B, and a single output Z that is 1 is: .A had the same value at each of the two previous clock ticks, or B has been 1 since the last time that the first condition was true. In-Lab 1. 2. 3. 4. For the finite state machine (FSM), identify the minimum number of states required Draw the state transition diagram Complete the state transition table Derive the...
Given the following Mealy finite state machine (FSM): Reset State State Encoding A/O B/O SO S1 S2 001 Bio AB/1 AIO Ā+BO a. Suppose one hot encoding is used to encode the states as given in ad- jacent table. Complete the state transition table and output table. (10 pts) b. Write Boolean equations for the next state and the output logic units. (10 pts) c. Sketch a schematic of the FSM. (10 pts)
0/3 D6.15 Write an assembly main program that implements this Mealy finite state machine. happy The FSM state graph, shown below, is givenP and cannot be changed. The input is on Port A bit 0 and the output is on Port B bits 3,2,1,0. There are three states (happy, hungry, sleepy), and initial state is happy. hungry 1/8 1/2 143 0/4 sleepy a) Show the ROM-based FSM data structure b) Show the initialization and controller software. Initialize the direction registers,...
Consider the following FSM state transition diagram: 7. Let's see if there is an equivalent state machine with fewer states by checking to see if any states in the diagram above are equivalent. Two states are equivalent if (1) they have identical outputs and (2) for each possible combination of inputs they transition to equivalent states. A. Start by filling in a "compatibility table" like the one shown below. Place an "X" in square (SISI) if SI produces a different...
3. Finite State Machine. Using a ROM based finite state machine (FSM), design a bi-directional repetitive 3-bit modulo-6 (0,1,2,3,4,5) counter (see Table 3). The design has one input named Dir and three outputs named B2, B1 and BO. The outputs (B2, B1 and BO) are dependent upon being in the present state only. After each clock pulse, when Dir is at logic "O', the outputs (B2, B1, BO) step through the count sequence in following order:- 0,1,2,3,4,5. After each clock...
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