PATRICIA TREE:

a. Create the PATRICIA Tree and Reduced PATRICIA for the following 01010101010110 to 8 levels of sistrings (level 1 is original string).
b. Assuming a search term of 01010101111 calculate the number of comparisons needed for the PAT tree and the reduced PAT tree.

To create the PATRICIA tree and the reduced PATRICIA tree for the given bit string, and calculate the number of comparisons needed for a search term, follow these steps:

Step 1: Construct the PATRICIA Tree
1. Start with an empty root node.
2. Split the original bit string 01010101010110 into its binary components: 0, 10, 101, 010, 101, 010.
3. Iterate through the binary components and add them to the tree:
a. If the current binary component matches an existing node, continue to the next level.
b. If the current binary component partially matches an existing node, split the node further until it matches completely.
c. If the current binary component does not match any existing node, create a new node for it.
4. Repeat until all binary components from the original string are added to the tree.

Step 2: Construct the Reduced PATRICIA Tree
1. Start with an empty root node.
2. Apply the same steps as before but only add unique binary components to the tree.
3. If a binary component already exists in the tree, skip adding it.

Step 3: Calculate the Number of Comparisons
To calculate the number of comparisons needed for a search term in both the PATRICIA tree and the reduced PATRICIA tree:
1. Start at the root of the tree.
2. Compare the first digit of the search term with the corresponding digit in the root.
3. If they match, continue to the next digit and compare again.
4. If there is a mismatch, count it as a comparison and stop searching further in that direction.
5. Repeat the process until the search term is fully matched or until a mismatch occurs.
6. Sum up the number of comparisons made during the search.

Note: In the reduced PATRICIA tree, since the repeated binary components are eliminated, fewer comparisons may be needed during the search compared to the original PATRICIA tree.

Please provide the exact search term (01010101111) to calculate the number of comparisons needed for the PAT tree and the reduced PAT tree.