Draw the PDA simulation of 0^i 1^j 2^k where j=i+k
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Draw the PDA simulation of 0^i 1^j 2^k where j=i+k
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- Convert the following NFA into a DFA. M=(Q, E, 8, 9o, F) Q={A, B, C, D} Σ= {a,b,c} 8(A, a) = {A, B} 8(B, a) = {B} 8(B, c) = {D} 8(C, a) = {A} 8(C,b) = {C} 8(D, c) = {B,C} 90 = A F = {C}Let M be the PDA defined by Q = {q, q0 , q1 , q2}, Σ = {a,b}, Γ = {a}, F := {q , q1}.δ(q0 , a , Z0) = {(q, Z0 ) } δ(q , a, Z0) = {(q , aZ0)} δ(q , a, a) = {(q , aa)} δ(q , b , a) = {(q1 ,e)} δ(q1 , b , a) = {(q1 ,e)} δ(q1 , b, Z0 ) = {(q2 , e)} Describe the CFG and the language accepted by MThe area of an arbitrary triangle can be computed using the formulaarea = √(s(s–a)(s–b)(s–c))where the square root is applied to the entire product (Links to an external site.) and where a, b, and c are the lengths of the sides, and s is thesemiperimeter of the triangle given (Links to an external site.) by the formula:s = (a + b + c)/2 Write a void function named (Links to an external site.) triangle that computes the area and perimeter(as well as the semiperimeter which will be used to compute the area)of a triangle based (Links to an external site.) on the length ofthe sides. The function should use five parameters (Links to an external site.)—three value (Links to an external site.)parameters (Links to an external site.) that provide the lengths of the edges and two referenceparameters (Links to an external site.) that store (Links to an external site.) the computed area and perimeter respectively. Make yourfunction robust. Note that not all combinations of a, b, and cproduce a…
- Question solve this equation (S+T*U)/(V-W)^2 by using Little man computer (LMC) simulator. you can use input S=10, T=2, U=3, V=6 and W=4 and expected output will be 6,16,2,4,4. please show the full codes. note that the simulation only use mnemonic code, there is no function MUL or DIV in little man computer or else it will not working. PLEASE DO NOT ANSWER IF YOU ARE GOING TO USE MUL or DIV IN THE CODE! Thank you. Mnemonic ADD SUB STA LDA BRA BRZ BRP INP OUT HLT DAT Instruction Add Subtract Store Load Branch always Branch if zero Branch if positive Input Output End program Data location5 Consider the degree-4 LFSR given by x to the power of 4 space plus space x squared space plus space x space plus space 1. Assume that the LFSR is initialized with the string left parenthesis s subscript 0 s subscript 1 s subscript 2 s subscript 3 right parenthesis equals left parenthesis 0110 right parenthesis. How long is the cycle generated?Exercise 9 (H.W): a. Show that p^ q = 9^ p and P nd nA d r=p^ (qA b. Show that (p v 9) v r = p v (q v r) and c. Show that (p ^ 9 v r = (pn r) v (g i r) d.Show that (p v r) ^ A (q v r) and (p v 9) ^ r = b - vd -=
- 8. Suppose that G(x) = B0 + B1*x + B2*x^2 + B3*x^3 + B4*x^4 + .... Suppose that G'(x) = F(x). What is B50?Suppose you are in Canada's Thousand Islands National Park, and in one particular lake there are n small islands that park officials want to connect with floating bridges so that people can experience going between islands without a canoe. The cost of constructing a bridge is proportional to its length. Assume the distance between every pair of islands is given to you as a two dimensional matrix (an example of such a table for n = 8 islands is shown below). A B C Ꭰ E F G H A 240 210 340 280 200 345 120 B 240 265 175 215 180 185 155 C 210 265 - 260 115 350 435 195 Ꭰ 340 175 260 160 330 295 230 E 280 215 115 160 360 400 170 F 200 180 350 330 360 175 205 G 345 185 435 295 400 175 305 H 120 155 195 230 170 205 305 Design an algorithm for determining which bridges they should build to connect the islands at minimal cost. Write down the pseudocode and explain why your algorithm correctly computes the set of bridges of minimal cost. Analyze the runnning time of your algorithm.Consider the following loop: //Precondition: (index=x) ^ (x 2 1) ^ (y=0) while (index >1) { index = index/2; ++y; } //Postcondition: (index =1) ^ (2° < x) ^ (x<2♥+1) Suppose we have already proved the first two parts of the postcondition, that is, (index = 1) and (2Y < x). Now we are trying to prove %D the last part (x < 2y+1). If (x < 2Y+1 index) is a loop invariant, can it be used to prove (x < 2Y+1)? Explain why or why not. Yes. Because the statement (x < 2y+1 index) is true before and after loop execution. O Yes. Because it is given that (r<2+1*index) is an invariant, and (x<2+1xindex) is equivalent to (r<2+1). O No. Since index = 1, the two sides of the proof would be the same which means there is nothing to prove. Yes. Because when the loop terminates we have (index=1), so x < 2y+1index = 2y+1