Question

Let the set E = { 2,4,6 } and let E’s domain D = { 0,1,2,3,4,5,6,7,8,9 }. Draw a picture of E’s bit vector. Represent E as a linked list.

Please explain the steps

Answer 1

Answer 2

A bit vector is a data structure that represents a set of elements using a sequence of bits. Each bit in the sequence corresponds to an element in the domain, and its value indicates whether the element is present in the set or not.

For the set E = {2, 4, 6} with domain D = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}, the bit vector representation would look like this:

Domain D: 0 1 2 3 4 5 6 7 8 9 Bit Vector: 0 0 1 0 1 0 1 0 0 0

In the bit vector, a '1' at a specific position indicates that the corresponding element in the domain is present in the set E, and a '0' indicates that it is not present.

Now, let's represent set E as a linked list:

Linked List Representation:

1. Start -> 2 -> 4 -> 6 -> NULL

In the linked list representation, each node in the list corresponds to an element in the set E. The "Start" is a special pointer pointing to the first node of the list, which contains the element 2. The first node points to the second node containing the element 4, and the second node points to the third node containing the element 6. The last node points to NULL, indicating the end of the list.

So, the linked list representation of set E = {2, 4, 6} would be: Start -> 2 -> 4 -> 6 -> NULL.