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Question Set 2 1. Given the following grammar dactor>-> ( <expr> ) a) What is the...
Question Set 2 1. Given the following grammar dactor>-> ( <expr> ) a) What is the...
Question Set 2 1. Given the following grammar dactor>-> ( <expr> ) a) What is the associativity of each of the operators? What is precedence of the operators? Show a leftmost derivation and parse tree for the following sentence: b) c) A-A(B(C A)) d) Rewrite the BNF grammar above to give precedence over and force to be right associative.
The questions in this section are based on the grammar given as the following: prog ->...
The questions in this section are based on the grammar given as the following: prog -> assign | expr assign -> id = expr expr -> expr + term | expr - term | term term -> factor | factor * term factor -> ( expr ) | id | num id -> A | B | C num -> 0 | 1 | 2 | 3 (2a) What is the associativity of the * operator? (5 points) (2b) What...
The questions in this section are based on the grammar given as the following: prog ->...
The questions in this section are based on the grammar given as the following: prog -> assign | expr assign -> id = expr expr -> expr + term | expr - term | term term -> factor | factor * term factor -> ( expr ) | id | num id -> A | B | C num -> 0 | 1 | 2 | 3 (2a) What is the associativity of the * operator? (5 points) (2b) What...
1. Write a BNF description of the logical expressions and the relational expressions in C++. Make...
1. Write a BNF description of the logical expressions and the relational expressions in C++. Make sure that the BNF reflects the order of precedence of the operators, as well as, the associativity rules. 2. Using the BNF rules in 1., give a rightmost derivation and show a parse tree for the expression below. 3. Prove that the following grammar is ambiguous and rewrite the grammar to remove ambiguity «newexp> → «newexp> @ <newexp> ulvl w I <other> <other> →
Question 3: Given the following grammar: assign → id := expr expr → expr + term \ term term -term *factor lfactor factor-(expr) id Using the above grammar, show a leftmost derivation (first five step...
Question 3: Given the following grammar: assign → id := expr expr → expr + term \ term term -term *factor lfactor factor-(expr) id Using the above grammar, show a leftmost derivation (first five steps) for the following assignment statement: A ((A B)+ C) a. [3 marks] b. Using the above grammar, show a rightmost derivation (first five steps) for the following assignment statement: A:-A+B+C)+A [3 marks] Draw the abstract syntax tree for each of the above statements [4 marks]...
Considering the following BNF grammar, answer the questions. <prog> - <assign> | <expr> <assign> = <id>...
Considering the following BNF grammar, answer the questions. <prog> - <assign> | <expr> <assign> = <id> = <expr> <expr> := <expr> + <term> | <expr> - <term> | <term> <term> := <factor> | <factor> * <term> <factor> ::= ( <expr> ) | <id> | <num> <id>::= ABC <num> := 0|1|2|3 2a - What is the associativity of the * operator? (5 points) 2b - For the * and + operators, do they have the same precedence, does the * operator...
3. Using the grammar below, show a parse tree and a leftmost derivation for the statement....
3. Using the grammar below, show a parse tree and a leftmost derivation for the statement. A = ( A + (B)) * C assign <idxpr expr>? <expr> <term> term <term factor factor (<expr>) l <term I <factor l <id> 4. Prove that the following grammar is ambiguous (Give sentence that has two parse trees, and show the parse trees):
2. Consider the following grammar: <assign> à <id> = <expr>
2. Consider the following grammar: <assign> à <id> = <expr> <id> à A | B | C <expr> à <id> + <expr> | <id> * <expr> | ( <expr> ) | <id> Show a parse tree and leftmost derivation for the following statements: (a) A = ( A + B ) * C (b) A = A * ( B + C ) 3. [10 Points] Show that the following grammar is...
Consider the following grammar (G1) for simple assignment statements. (The symbols in double quotation marks are...
Consider the following grammar (G1) for simple assignment statements. (The symbols in double quotation marks are terminal symbols.) assign → id “ = ” expr id → “A” | “B” | “C” expr → expr “ + ” expr | expr “ ∗ ” expr | “(” expr “)” | id a) Give a (leftmost) derivation for string A = B ∗ A + C. b) Give the parse tree for string A = B ∗ A + C. c)...
(20 pts) To understand the value of recursion in a programming language: implement the binary search...
(20 pts) To understand the value of recursion in a programming language: implement the binary search algorithm first as a recursive function and again using a conditional loop. Your program should create an array of characters holding the letters ‘A’ – ‘Z’ and find the index in the array where the letter ‘K’ is stored. You may use any programming language that supports recursion. (5pts) Define syntax and semantics and give an example. (5pts) Why is it important for a...
Question Set 2 1. Given the following grammar dactor>-> ( <expr> ) a) What is the associativity of each of the operators? What is precedence of the operators? Show a leftmost derivation and parse tree for the following sentence: b) c) A-A(B(C A)) d) Rewrite the BNF grammar above to give precedence over and force to be right associative.
1. Write a BNF description of the logical expressions and the relational expressions in C++. Make sure that the BNF reflects the order of precedence of the operators, as well as, the associativity rules. 2. Using the BNF rules in 1., give a rightmost derivation and show a parse tree for the expression below. 3. Prove that the following grammar is ambiguous and rewrite the grammar to remove ambiguity «newexp> → «newexp> @ <newexp> ulvl w I <other> <other> →
Question 3: Given the following grammar: assign → id := expr expr → expr + term \ term term -term *factor lfactor factor-(expr) id Using the above grammar, show a leftmost derivation (first five steps) for the following assignment statement: A ((A B)+ C) a. [3 marks] b. Using the above grammar, show a rightmost derivation (first five steps) for the following assignment statement: A:-A+B+C)+A [3 marks] Draw the abstract syntax tree for each of the above statements [4 marks]...
Considering the following BNF grammar, answer the questions. <prog> - <assign> | <expr> <assign> = <id> = <expr> <expr> := <expr> + <term> | <expr> - <term> | <term> <term> := <factor> | <factor> * <term> <factor> ::= ( <expr> ) | <id> | <num> <id>::= ABC <num> := 0|1|2|3 2a - What is the associativity of the * operator? (5 points) 2b - For the * and + operators, do they have the same precedence, does the * operator...
3. Using the grammar below, show a parse tree and a leftmost derivation for the statement. A = ( A + (B)) * C assign <idxpr expr>? <expr> <term> term <term factor factor (<expr>) l <term I <factor l <id> 4. Prove that the following grammar is ambiguous (Give sentence that has two parse trees, and show the parse trees):
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