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For each of the following state machines use implication tables to see if there are any...
Using the implication table method, minimize the number of states in the finite state machine whose...
Using the implication table method, minimize the number of
states in the finite state machine whose state and output
transition table is shown below.
You must submit:
a. All implication tables used for minimization. As it comes in the
examples on the class slides.
b. The state and output transition table showing the minimized
MEF.
PS NS A B с D E F G X = 0 A с A C G C E X = 1 B A D...
1 • For the state reduction on the following state table using implication table which of...
1 • For the state reduction on the following state table using implication table which of the following statements are correct? (Fig. 23) Present Next State Present Output State X=0 1 X=0 1 a h с 0 b с d 0 1 с h b 0 0 d f h 0 0 e с f 0 f f g 0 0 g g с 0 h a с 0 1 1 1 Fig. 23 A. a & b could be...
Table Q4.1 shows the state transition table for a finite state machine (FSM) with one input...
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...
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...
5) Decoders: Given the following circuit, S0 and S1 are computed using a 4-2 priority encoder with the priorities indicated on the figure. (hint: IDLE signal is always 0, if any of the inputs...
5) Decoders: Given the following circuit, S0 and S1 are computed using a 4-2 priority encoder with the priorities indicated on the figure. (hint: IDLE signal is always 0, if any of the inputs 10,11,12, or 13 is 1) 6 points) 4-to-2 Priority Encoder 10 YO YI 13 IDLE 13> 11 > 12>10 12 Full c Adder So Fill the following table showing the output signals S0 and SI given the input signals w, x, y, a) and z. Prof...
(20 points) Using any state encodings you want, generate a state table for the following state diagram. Note that there...
(20 points) Using any state encodings you want, generate a state table for the following state diagram. Note that there is one input, X, and there are two outputs, Y and Z. You can come up with whatever names you want for your state variables. And then generate the logic equations for the next state signals (assume D flip-flops for maintaining state) and the output signals, Y and Z 7. A0 A/Y 070 x=1 x=1 x =1 x =0 x...
Question 4 State Machines (25 marks) A state machine is required to generate the first 8...
Question 4 State Machines (25 marks) A state machine is required to generate the first 8 digits of pi (ignoring the decimal point) where pi 3.1415926... The output of the state machine must be a 4 bit BCD value representing the current digit, so the state machine output will follow the sequence: 0011 (3), 0001 (1), 0100 (4)... After the final digit in the sequence is output, the state machine must go back to the beginning 3 of 4 and...
4. Create a 1-hot implementation of the traffic light state machine from problem #2 (a) Create the state table with state assignments, showing the next states as a function of the input and the outpu...
4. Create a 1-hot implementation of the traffic light state machine from problem #2 (a) Create the state table with state assignments, showing the next states as a function of the input and the outputs as a function of the present state. (b) Determine the logic equations for the next state inputs to the flops, and for the six output control signals.
4. Create a 1-hot implementation of the traffic light state machine from problem #2 (a) Create the state...
Problem 1. (10 Points) FSM Optimization Reduce the number of states in the following state table...
Problem 1. (10 Points) FSM Optimization Reduce the number of states in the following state table and tabulate the reduced state table: Next State Output Present state X-1 X-0 X-0 X=1 В 0 в C 0 0 C F E 0 D G A 1 C 0 0 В 1 1 G G н 0 1 н G 0 А
3. Use the partitioning method from Chapter 6 to find a reduced state table. Assume each possible...
3. Use the partitioning method from Chapter 6 to find a reduced state table. Assume each possible value for the don't care entries. Which values yield the minimum number of states? For each value, you must show the final state partition. For the value with the fewest number of states, provide the reduced state table. Next State Present State 00 01 10 11 Output S0 80 81 S1 S2 S1 S2 S2 S3 S2 S3 S3 S4 0 S2 S3...
Using the implication table method, minimize the number of
states in the finite state machine whose state and output
transition table is shown below.
You must submit:
a. All implication tables used for minimization. As it comes in the
examples on the class slides.
b. The state and output transition table showing the minimized
MEF.
PS NS A B с D E F G X = 0 A с A C G C E X = 1 B A D...
1 • For the state reduction on the following state table using implication table which of the following statements are correct? (Fig. 23) Present Next State Present Output State X=0 1 X=0 1 a h с 0 b с d 0 1 с h b 0 0 d f h 0 0 e с f 0 f f g 0 0 g g с 0 h a с 0 1 1 1 Fig. 23 A. a & b could be...
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...
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...
5) Decoders: Given the following circuit, S0 and S1 are computed using a 4-2 priority encoder with the priorities indicated on the figure. (hint: IDLE signal is always 0, if any of the inputs 10,11,12, or 13 is 1) 6 points) 4-to-2 Priority Encoder 10 YO YI 13 IDLE 13> 11 > 12>10 12 Full c Adder So Fill the following table showing the output signals S0 and SI given the input signals w, x, y, a) and z. Prof...
(20 points) Using any state encodings you want, generate a state table for the following state diagram. Note that there is one input, X, and there are two outputs, Y and Z. You can come up with whatever names you want for your state variables. And then generate the logic equations for the next state signals (assume D flip-flops for maintaining state) and the output signals, Y and Z 7. A0 A/Y 070 x=1 x=1 x =1 x =0 x...
Question 4 State Machines (25 marks) A state machine is required to generate the first 8 digits of pi (ignoring the decimal point) where pi 3.1415926... The output of the state machine must be a 4 bit BCD value representing the current digit, so the state machine output will follow the sequence: 0011 (3), 0001 (1), 0100 (4)... After the final digit in the sequence is output, the state machine must go back to the beginning 3 of 4 and...
4. Create a 1-hot implementation of the traffic light state machine from problem #2 (a) Create the state table with state assignments, showing the next states as a function of the input and the outputs as a function of the present state. (b) Determine the logic equations for the next state inputs to the flops, and for the six output control signals.
4. Create a 1-hot implementation of the traffic light state machine from problem #2 (a) Create the state...
Problem 1. (10 Points) FSM Optimization Reduce the number of states in the following state table and tabulate the reduced state table: Next State Output Present state X-1 X-0 X-0 X=1 В 0 в C 0 0 C F E 0 D G A 1 C 0 0 В 1 1 G G н 0 1 н G 0 А
3. Use the partitioning method from Chapter 6 to find a reduced state table. Assume each possible value for the don't care entries. Which values yield the minimum number of states? For each value, you must show the final state partition. For the value with the fewest number of states, provide the reduced state table. Next State Present State 00 01 10 11 Output S0 80 81 S1 S2 S1 S2 S2 S3 S2 S3 S3 S4 0 S2 S3...
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