Question

Divide and conquer for integer multiplication i.e. given 2 n digit intgers x and y compute the product xy

Answer 1

The divide-and-conquer technique for integer multiplication involves breaking down the multiplication into smaller multiplications and combining the results.

Step-by-step explanation:

One way to multiply two n-digit integers using the divide-and-conquer technique is to break down the initial multiplication into smaller multiplications. Here are the steps:

1. Divide both integers into two halves, creating four subproblems.
2. Recursively solve each subproblem.
3. Combine the subproblem results to get the final product.

For example, if we want to multiply two 2-digit integers, we can divide each integer into two 1-digit halves. We then multiply these halves, combine the results, and obtain the overall product.