Homework Answers
Consider the following context-free grammar with terminals {a, b, c, d} and start symbol S. S...
Consider the following context-free grammar with terminals {a, b, c, d} and start symbol S. S → W | X | Y | Z W → AW D | X | Y | Z X → BXD | Z Y → AY C | Z Z → BZC | ε A → a B → b C → c D → d (a) Give a derivation tree with input string: aaaabccddd (b) What language does this CFG recognize? Give a...
Given the following grammar: A -> A ; B A -> B &nb
Given the following grammar: A -> A ; B A -> B B -> B , C B -> C C -> ( A ) C -> a rewrite the grammar to avoid left recursion For the rewritten grammar of question , Compute First, Follow, and nullable.
Consider the following BNF grammar: S ::= A x | B y A ::= B y...
Consider the following BNF grammar: S ::= A x | B y A ::= B y | C w B ::= x | B w C ::= y Which of the following regular expressions describes the same set of strings as the grammar? 1. xwxy + xww∗y + ywx 2. xwx + xww∗y + yw 3. xw∗y + xwxyx + ywx 4. xwy + xw∗xyx + ywx 5. xw∗y + xw∗yx + ywx 6. none of the above 7. all...
Let A-g's, u, v, w, x, y, z), B {q, s, y, z,C-{v, w, x, y,...
Let A-g's, u, v, w, x, y, z), B {q, s, y, z,C-{v, w, x, y, z), and D-6. Specify the following set. 9) Cu B 10) An B
Use left-factoring to find an equivalent LL(k) grammar for the following grammar where k is as...
Use left-factoring to find an equivalent LL(k) grammar for the following grammar where k is as small as possible. Fill out the following blanks S rightarrow abA A rightarrow ab| Lambda Solution: The language generated by the given grammar is: L = _____ The given grammar is _____ By factoring ab out from S rightarrow abA | abcS, the given grammar can be converted to _____ _____ _____ (1) This grammar can also be written as _____ _____ _____ (2)...
5. Construct the CYK-table for the string aabb using the following grammar: S X Y Z...
5. Construct the CYK-table for the string aabb using the following grammar: S X Y Z A B + AY | 8 + AY + XZ|XB| b + XB | b → a + b
Find the context free Grammar for the following language L = {w ∈ {a, b, c}*...
Find the context free Grammar for the following language L = {w ∈ {a, b, c}* : na (w) + nb (w) ≠ nc (w)}.
Z- A+B+C+D Z:x component Z: y component W=A-B-C+D W :x component W: y component in the...
Z- A+B+C+D Z:x component Z: y component W=A-B-C+D W :x component W: y component in the dagram tothe let Vecor A has a magnitude of 5.8 units and makes an angle of 31 degrees with respect to the positive x axis. Vector B has a magnitude of S units and makes an angle of 53.1 degrees with respect to the negative x axis. 53 319 What are the components of the resultant of: A+B
Show that this grammar is ambiguous for the string a+b+c: <S> - <x> <X> - <x>+...
Show that this grammar is ambiguous for the string a+b+c: <S> - <x> <X> - <x>+ <x> <X> - <id> <id> - abc Give the derivations.
The following logic function is given as a sum of minterms F(W,X,Y,Z) = ∑W,X,Y,Z(2,7,10,13,14) + d(5,6,15)...
The following logic function is given as a sum of minterms F(W,X,Y,Z) = ∑W,X,Y,Z(2,7,10,13,14) + d(5,6,15) a) Draw the K-map for the given function F. b) What is the minimized SOP equation? c) Give all input pairs in the form of WXYZ where a transition between them would create a timing hazard. d) Draw the timing diagram showing the hazard for one of the cases. Assume ALL gate delays are equal. e) Provide the expression of an equivalent logic function...
Let A-g's, u, v, w, x, y, z), B {q, s, y, z,C-{v, w, x, y, z), and D-6. Specify the following set. 9) Cu B 10) An B
Use left-factoring to find an equivalent LL(k) grammar for the following grammar where k is as small as possible. Fill out the following blanks S rightarrow abA A rightarrow ab| Lambda Solution: The language generated by the given grammar is: L = _____ The given grammar is _____ By factoring ab out from S rightarrow abA | abcS, the given grammar can be converted to _____ _____ _____ (1) This grammar can also be written as _____ _____ _____ (2)...
5. Construct the CYK-table for the string aabb using the following grammar: S X Y Z A B + AY | 8 + AY + XZ|XB| b + XB | b → a + b
Z- A+B+C+D Z:x component Z: y component W=A-B-C+D W :x component W: y component in the dagram tothe let Vecor A has a magnitude of 5.8 units and makes an angle of 31 degrees with respect to the positive x axis. Vector B has a magnitude of S units and makes an angle of 53.1 degrees with respect to the negative x axis. 53 319 What are the components of the resultant of: A+B
Show that this grammar is ambiguous for the string a+b+c: <S> - <x> <X> - <x>+ <x> <X> - <id> <id> - abc Give the derivations.
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