10-Draw the internal representation for the following lisp list(s). (cons '((apple orange () (grape) banana)) '())
10-Draw the internal representation for the following lisp list(s). (cons '((apple orange () (grape) banana)) '())
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
Problem 1PE
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Transcribed Image Text:**Lisp Internal Representation Guide**
---
**Question:**
Draw the internal representation for the following Lisp list(s).
(cons '( (apple orange () (grape) banana)) '() )
---
**Explanation:**
In Lisp, lists are fundamental structures that are internally represented using pairs, often called cons cells. Each cons cell has two parts: the CAR, which holds the first element of the list, and the CDR, which holds the rest of the list.
**Analysis of the List:**
The given Lisp expression is a `cons` operation, which constructs a new cons cell:
(cons '((apple orange () (grape) banana)) '())
Here's a breakdown of the elements:
1. The first argument to `cons` is:
`( (apple orange () (grape) banana) )`
2. The second argument to `cons` is an empty list:
`()`
**Resulting Structure:**
The result of `cons` is a new list where the first element is `'( (apple orange () (grape) banana))` and the second element is `()`.
### Visual Representation (Diagram)
To draw the internal representation:
1. Start by drawing a box divided into two parts to represent the `cons` cell.
2. In the left part, place the first argument: `((apple orange () (grape) banana))`.
3. In the right part, place the second argument, which is `()`.
Here’s how the diagram might look:
```
+---------+---------+
| CAR | CDR |
+---------+---------+
| list | NIL |
+---------+---------+
```
**Details of the `list`:**
Inside the component representing the list `((apple orange () (grape) banana))`, another nested representation of lists would be:
```
+---------+---------+ +---------+---------+ +---------+---------+
| CAR | CDR | | CAR | CDR | | CAR | CDR |
+---------+---------+ +---------+---------+ +---------+---------+
| apple | | ---> | orange | | ---> | NIL | | ---> ...
+---------+ | +---------+ | +---------+ |
| () (cons (
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