## What is meaning of right-associative?

Operators may be associative (meaning the operations can be grouped arbitrarily), left-associative (meaning the operations are grouped from the left), right-associative (meaning the operations are grouped from the right) or non-associative (meaning operations cannot be chained, often because the output type is …

**What is parse tree explain?**

A parse tree or parsing tree or derivation tree or concrete syntax tree is an ordered, rooted tree that represents the syntactic structure of a string according to some context-free grammar.

**What is parse tree with example?**

Parse tree is the hierarchical representation of terminals or non-terminals. These symbols (terminals or non-terminals) represent the derivation of the grammar to yield input strings. In parsing, the string springs using the beginning symbol.

### How do you right-associative grammar?

For example, production E → T + E is right recursive, and it indicates that + is right associative (done from right to left). Similarly, a production of the form N → Nα is left recursive….Controlling associativity: left and right recursion.

E | → | T |
---|---|---|

T | → | T * F |

F | → | n |

F | → | ( E ) |

**What is associativity why it is important?**

Associativity is an important idea. It lets you easily break up a job, do the work separately in different threads, and then recombine the answers without any trouble.

**What is difference between parse tree and syntax tree?**

The main difference between parse tree and syntax tree is that parse tree is a hierarchical structure that represents the derivation of the grammar to obtain input strings while syntax tree is a way of representing the syntax of a programming language as a hierarchical tree similar structure.

## What is annotated parse tree?

AN ANNOTATED PARSE TREE is a parse tree showing the values of the attributes at each node. The process of computing the attribute values at the nodes is called annotating or decorating the parse tree.

**What is ambiguous grammar explain with an example?**

A Grammar that makes more than one Leftmost Derivation (or Rightmost Derivation) for the similar sentence is called Ambiguous Grammar. Example − Verify whether the following Grammar is Ambiguous or Not. For string id + id * id, there exist two parse trees.

**What is difference between associativity and precedence explain with the help of example?**

Associativity can be either Left to Right or Right to Left. For example: ‘*’ and ‘/’ have same precedence and their associativity is Left to Right, so the expression “100 / 10 * 10” is treated as “(100 / 10) * 10”. 1) Associativity is only used when there are two or more operators of same precedence.

### How do you convert ambiguous grammar to unambiguous?

To convert ambiguous grammar to unambiguous grammar, we will apply the following rules: 1. If the left associative operators (+, -, *, /) are used in the production rule, then apply left recursion in the production rule….Unambiguous grammar will be:

- S → AB.
- A → Aa | a.
- B → b.

**What is associative law addition?**

associative law, in mathematics, either of two laws relating to number operations of addition and multiplication, stated symbolically: a + (b + c) = (a + b) + c, and a(bc) = (ab)c; that is, the terms or factors may be associated in any way desired.

**What is the parse tree of a left-associative evaluation?**

A left-associative evaluation would have resulted in the parse tree ( (5^4)^3)^2 and the completely different results 625, 244140625 and finally ~5.9604645 × 10 16 .

## Are subtraction and Division left associative in parse trees?

Parse trees using this grammar may not correctly express the fact that both subtraction and division are left associative; e.g., the expression: 5-3-2 is equivalent to: ( (5-3)-2) and not to: (5- (3-2)) . Draw two parse trees for the expression 5-3-2 using the grammar given above; one that correctly groups 5-3, and one that incorrectly groups 3-2 .

**What are the left and right associative operators?**

In order to reflect normal usage, addition, subtraction, multiplication, and division operators are usually left-associative, while for an exponentiation operator (if present) and Knuth’s up-arrow operators there is no general agreement. Any assignment operators are typically right-associative.

**How do I write a grammar whose parse trees Express precedence correctly?**

To write a grammar whose parse trees express precedence correctly, use a different nonterminal for each precedence level. Start by writing a rule for the operator (s) with the lowest precedence (“-” in our case), then write a rule for the operator (s) with the next lowest precedence, etc: