Homework Answers
To draw the DFA, look at the entries at the table. For example, entry in the first row and first column is q1 which means from state q0 on reading the letter a, the machine goes to q1.
The row characters q0 , q1 etc denote the current state of the machine, the column characters denote the alphabet read and the entries denote which state the machine goes from corresponsing current state in the row on reading the alphabet of that column. The DFA is given below. The states which are circled twice denote the final states.
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Draw state diagram
ing the following definition to draw a state diagram. (Show your work.) A...
show work plz Consider the following finite state diagram. State 1 Output=1 State 0 Output=0 State...
show work plz
Consider the following finite state diagram. State 1 Output=1 State 0 Output=0 State 2 Output=1 State 3 Output=0 The diagram has 4 states, 1 external input / (in additional to the CLK input), and 1 output bit Y. State 0 is represented by memory bits Qi Qo=00, State 1 is represented by memory bits Q.Qo=01, State 2 is represented by memory bits Q.Qo = 10, and State 3 is represented by memory bits Q.Qo = 11. The...
3.(4 4+20-36 points Formal Definition of a Turing Machine (TM) ATM M is expressed as a...
3.(4 4+20-36 points Formal Definition of a Turing Machine (TM) ATM M is expressed as a 7-tuple (Q, T, B, ? ?, q0,B,F) where: . Q is a finite set of states T is the tape alphabet (symbols which can be written on Tape) .B is blank symbol (every cell is filled with B except input alphabet initially .2 is the input alphabet (symbols which are part of input alphabet) is a transition function which maps QxTQxTx (L, R :...
4. Show that the pda constructed in Example 7.6 accepts the strings aabb and aaabbbb, and that bo...
4. Show that the pda constructed in Example 7.6 accepts the strings aabb and aaabbbb, and that both strings are in the language generated by the given grammar. EXAMPLE 7.6 Construct a pda that accepts the language generated by a grammar with productions We first transform the grammar into Greibach normal form, changing the productions to A bB, The corresponding automaton will have three states (go, 91,92), with initial state go and final state q2. First, the start symbol S...
please show your work. Fill in the state table for the following state diagram. Clearly label...
please show your work.
Fill in the state table for the following state diagram. Clearly label each column with its usage (Present. Input, Output, Next). Use only as many rows as needed. 1 00 0 0 ( 11 QB 10 QA QB
a). Provide a DFA M such that L(M) = D, and provide an English explanation of...
a). Provide a DFA M such that L(M) = D, and provide an English
explanation of how it works (that is, what each state
represents):
b). Prove (by induction on the length of the
input string) that your DFA accepts the correct inputs (and only
the correct inputs). Hint : your explanation in part a) should
provide the precise statements that you need to show by induction.
For example, you could show by induction on |w| that
E2 = {[:],...
(15 points) Your colleague is trying to code a VHDL model for a 7419 register. Review...
(15 points) Your colleague is trying to code a VHDL model for a 7419 register. Review the code on the next page and make any and all correction correct working model. Note the function model. Note the function table and additional information regarding need to solve this problem. DL model for a 74194 4-bit bidirectional universal shift tions that are necessary to produce a al information regarding the problem that you Control Signals Mode CirN SI SO Outputs 1 1...
Please work on Part E & F Given the State Table Below Q1 Q2 Q3 X-1 X-0 X-1 10111loloi A. Draw a state Diagram (5 points) B. Create the "design truth table" for the "next state" an...
Please work on Part E & F
Given the State Table Below Q1 Q2 Q3 X-1 X-0 X-1 10111loloi A. Draw a state Diagram (5 points) B. Create the "design truth table" for the "next state" and the "output"' (5 points) C. Make a Karnaugh for each "next state" and the "output" (10 points) When making the Karnaugh maps, "xQ1" should be along the top and "0203" along the side (The two missing states should be considered "DONT CARES") Write...
Given the State Table Below 01 02 Q3 X-1 A. B. C. Draw a state Diagram (S points) Create the "design truth table" for the "next state" and the "output" (5 points) Make...
Given the State Table Below 01 02 Q3 X-1 A. B. C. Draw a state Diagram (S points) Create the "design truth table" for the "next state" and the "output" (5 points) Make a Karnaugh for each "next state" and the "output" (10 points) When making the Karnaugh maps, "xQ1" should be along the top and "O203" along the side (The two missing states should be considered "DONT CARES") Write the "Next State" and Output equations from the Karnaugh maps...
6. State whether each geometric series is convergent or divergent. Show your work. If the series...
6. State whether each geometric series is convergent or divergent. Show your work. If the series is convergent, find the sum of the infinite series. (4 marks) 5 a) 80 + 20 + 5+ 4 + b)t gr- r= -2 7. State the reference angle for each angle in standard position. Draw a diagram and show your calculations. State the Quadrant that the reference angle belongs in. (4 marks) a) 55° b) 155° c) 255° d) 355° 3
Q2 (20pts) Design a combinational ct that accepts an input 3-bit binary number (XYZ) and generate...
Q2 (20pts) Design a combinational ct that accepts an input 3-bit binary number (XYZ) and generates an output 4-bit binary number (ABCD) where output equal to the double of the input number. (a) Construct the truth table (b) State each output-bit as a function in sum of minterms (SOM) form: (c) State each output-bit as a function in product of maxterms (POM) form: ΠΜ(.) (d) Optimize the circuit using K-maps and find the simplified functions Show your work full-credit. Q3...
show work plz
Consider the following finite state diagram. State 1 Output=1 State 0 Output=0 State 2 Output=1 State 3 Output=0 The diagram has 4 states, 1 external input / (in additional to the CLK input), and 1 output bit Y. State 0 is represented by memory bits Qi Qo=00, State 1 is represented by memory bits Q.Qo=01, State 2 is represented by memory bits Q.Qo = 10, and State 3 is represented by memory bits Q.Qo = 11. The...
3.(4 4+20-36 points Formal Definition of a Turing Machine (TM) ATM M is expressed as a 7-tuple (Q, T, B, ? ?, q0,B,F) where: . Q is a finite set of states T is the tape alphabet (symbols which can be written on Tape) .B is blank symbol (every cell is filled with B except input alphabet initially .2 is the input alphabet (symbols which are part of input alphabet) is a transition function which maps QxTQxTx (L, R :...
4. Show that the pda constructed in Example 7.6 accepts the strings aabb and aaabbbb, and that both strings are in the language generated by the given grammar. EXAMPLE 7.6 Construct a pda that accepts the language generated by a grammar with productions We first transform the grammar into Greibach normal form, changing the productions to A bB, The corresponding automaton will have three states (go, 91,92), with initial state go and final state q2. First, the start symbol S...
please show your work.
Fill in the state table for the following state diagram. Clearly label each column with its usage (Present. Input, Output, Next). Use only as many rows as needed. 1 00 0 0 ( 11 QB 10 QA QB
a). Provide a DFA M such that L(M) = D, and provide an English
explanation of how it works (that is, what each state
represents):
b). Prove (by induction on the length of the
input string) that your DFA accepts the correct inputs (and only
the correct inputs). Hint : your explanation in part a) should
provide the precise statements that you need to show by induction.
For example, you could show by induction on |w| that
E2 = {[:],...
(15 points) Your colleague is trying to code a VHDL model for a 7419 register. Review the code on the next page and make any and all correction correct working model. Note the function model. Note the function table and additional information regarding need to solve this problem. DL model for a 74194 4-bit bidirectional universal shift tions that are necessary to produce a al information regarding the problem that you Control Signals Mode CirN SI SO Outputs 1 1...
Please work on Part E & F
Given the State Table Below Q1 Q2 Q3 X-1 X-0 X-1 10111loloi A. Draw a state Diagram (5 points) B. Create the "design truth table" for the "next state" and the "output"' (5 points) C. Make a Karnaugh for each "next state" and the "output" (10 points) When making the Karnaugh maps, "xQ1" should be along the top and "0203" along the side (The two missing states should be considered "DONT CARES") Write...
Given the State Table Below 01 02 Q3 X-1 A. B. C. Draw a state Diagram (S points) Create the "design truth table" for the "next state" and the "output" (5 points) Make a Karnaugh for each "next state" and the "output" (10 points) When making the Karnaugh maps, "xQ1" should be along the top and "O203" along the side (The two missing states should be considered "DONT CARES") Write the "Next State" and Output equations from the Karnaugh maps...
6. State whether each geometric series is convergent or divergent. Show your work. If the series is convergent, find the sum of the infinite series. (4 marks) 5 a) 80 + 20 + 5+ 4 + b)t gr- r= -2 7. State the reference angle for each angle in standard position. Draw a diagram and show your calculations. State the Quadrant that the reference angle belongs in. (4 marks) a) 55° b) 155° c) 255° d) 355° 3
Q2 (20pts) Design a combinational ct that accepts an input 3-bit binary number (XYZ) and generates an output 4-bit binary number (ABCD) where output equal to the double of the input number. (a) Construct the truth table (b) State each output-bit as a function in sum of minterms (SOM) form: (c) State each output-bit as a function in product of maxterms (POM) form: ΠΜ(.) (d) Optimize the circuit using K-maps and find the simplified functions Show your work full-credit. Q3...
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