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
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**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 (
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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