3. Consider the following BNF for arithmetic expressions: <expression> ::= <term> <term>+ <expression> | <term> -...
1. Consider the following BNF definition of arithmetic expressions: <expression> <expression>+ <term> | <expression>-<term> <term> <term> ::= <term>*<factor> <term>/<factor> | <factor> <factor> :: <digit>«<exponent> | <didgit>^«<exponent> <digit>(<expression> <digit>:= 01|2|3|4151617181910. <exponent> :: <sign> <val> <sign>=+1 - <val 1121314 Draw the expression trees of the following expressions, parsed according to the BNF above. a) 46 - 6/4-243. b) 4*6 -(6/4 - 243) c) 31-2-3*2 + 3/2 d) 3^2*5. e) ((3^2)).
You are given the following context free grammar in BNF format. 1 <expression> ::= <term> | <expression> "+" <term> 2 <term> ::= <factor> | <term> "*" <factor> 3 <factor> ::= <constant> | <variable> | "(" <expression> ")" 4 <variable> ::= "x" | "y" | "z" 5 <constant> ::= <digit> | <digit> <constant> 6 <digit> ::= "0" | "1" | "2" | "3" | "4" | "5" | "6" | "7" | "8" | "9" a) Show how the expression 4...
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> →
Consider the following BNF grammar that we saw in class: EXP ::= EXP + TERM | EXP - TERM | TERM TERM ::= TERM * FACTOR | TERM / FACTOR | FACTOR FACTOR ::= ( EXP ) | DIGIT DIGIT ::= 0 | 1 | 2 | 3 (a) Translate into EBNF. (b) Draw syntax diagrams. (c) What are the two requirements on a grammar for a predictive parser to be able to...
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...
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...
26 *4+5 (similar.to week 4 3. For expression MyvarA 3.1 Define its BNF grammar (1pt) exercise 6 & week 5 ppt beginning example) 3.2 Find out its BNF left-most derivation (1pt) 3.3 Draw its parse tree (1pt) 3.4 Draw its abstract syntax tree (1pt)
EVALUATING GENERAL INFIX EXPRESSIONS INTRODUCTION The notation in which we usually write arithmetic expressions is called infix notation; in it, operators are written between their operands: X + Y. Such expressions can be ambiguous; do we add or multiply first in the expression 5 + 3 * 2? Parentheses and rules of precedence and association clarify such ambiguities: multiplication and division take precedence over addition and subtraction, and operators associate from left to right. This project implements and exercises a stack-based algorithm that evaluates...
Q6) Consider the following grammar for arithmetic expressions. F ? (E) l i Using top-down parsing, find a leftmost derivation in this grammar for the expression i/i + . Show your work. 10 Points
B)(5 points) Consider the binary tree representing the following arithmetic expression (sign $ stands for exponentiation (power) operation): A/(B+C) * DS (E - F) Draw the tree structure C(5 Points) Draw a binary tree whose inorder traverse is : T, W, K, C,M , X, S, A, B,R and preoorder traverse is : X, C, T, K,W,M,S, B, A,R