2. What is a syntax tree? Draw the syntax tree for the expression a*(b+c)*d.

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
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**Question 2: Understanding Syntax Trees**

**What is a Syntax Tree?**

A syntax tree, also known as a parse tree, is a tree representation of the syntactic structure of a source code written in a programming language. Each node of the tree denotes a construct occurring in the source code.

**Draw the Syntax Tree for the Expression a*(b+c)*d**

To draw the syntax tree for the expression \( a \times (b + c) \times d \):

1. The root of the tree will be the outermost operation, which is multiplication (\(*\)).
2. The left child of the root will hold another multiplication (\(*\)), connecting to 'a' on its left and the addition node on its right.
3. The right child of the initial root operation (\(*\)) connects to 'd'.
4. The addition node in the middle connects to 'b' and 'c' as its children.

Visual Layout:

```
      *
     / \
    *   d
   / \
  a   +
     / \
    b   c
```

This representation captures the hierarchical structure of the expression, ensuring correct order of operations.
Transcribed Image Text:**Question 2: Understanding Syntax Trees** **What is a Syntax Tree?** A syntax tree, also known as a parse tree, is a tree representation of the syntactic structure of a source code written in a programming language. Each node of the tree denotes a construct occurring in the source code. **Draw the Syntax Tree for the Expression a*(b+c)*d** To draw the syntax tree for the expression \( a \times (b + c) \times d \): 1. The root of the tree will be the outermost operation, which is multiplication (\(*\)). 2. The left child of the root will hold another multiplication (\(*\)), connecting to 'a' on its left and the addition node on its right. 3. The right child of the initial root operation (\(*\)) connects to 'd'. 4. The addition node in the middle connects to 'b' and 'c' as its children. Visual Layout: ``` * / \ * d / \ a + / \ b c ``` This representation captures the hierarchical structure of the expression, ensuring correct order of operations.
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