Considering the following BNF grammar answer the questions.   ::= ::= # | @ | ::= $ | ^ | ::= end | ! ::= just   2a - What is the associativity of the @ operator? Why?.  2b - What is the associativity of the $ operator? Why? In one sentence explain how you determine the answer.  2c – Which one of # and ! operators has a higher precedence? Why? In one sentence explain how you determine the answer. 2d - Which of @ and ^ operators has a higher precedence? Why? In one sentence explain how you determine the answer.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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Considering the following BNF grammar answer the questions.  

<s> ::= <a> <b>

<a> ::= <a> # <c> | <a> @ <c> | <c>

<c> ::= <d> $ <c> | <c> ^ <d> | <d>

<b> ::= end | <a> ! <b>

<d> ::= just  

2a - What is the associativity of the @ operator? Why?. 

2b - What is the associativity of the $ operator? Why? In one sentence explain how you determine the answer. 

2c – Which one of # and ! operators has a higher precedence? Why? In one sentence explain how you determine the answer.

2d - Which of @ and ^ operators has a higher precedence? Why? In one sentence explain how you determine the answer.  

 

Expert Solution
Step 1 BNF grammar definition

BNF stands for "Backus-Naur Form," and it is a notation used to describe the syntax of programming languages or other formal languages. BNF grammar consists of a set of production rules, each of which defines a symbol or non-terminal in terms of one or more other symbols or terminals. The rules are written in the form:

<symbol> ::= definition

Where <symbol> is a non-terminal symbol and definition is a sequence of one or more terminals and/or non-terminal symbols, separated by operators such as alternation, concatenation, or repetition.

These rules define the syntax of expressions consisting of numbers, addition and subtraction operators, multiplication and division operators, and parentheses for grouping. The non-terminal symbols are enclosed in angle brackets, and the terminals are specified as literal strings.

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