In what cases does Future.get() throw ExecutionException or InterruptedException

ExecutionException and InterruptedException are two very different things.

ExecutionException wraps whatever exception the thread being executed threw, so if your thread was, for instance, doing some kind of IO that caused an IOException to get thrown, that would get wrapped in an ExecutionException and rethrown.

An InterruptedException is not a sign of anything having gone wrong. It is there to give you a way to let your threads know when it's time to stop so that they can finish up their current work and exit gracefully. Say I want my application to stop running, but I don't want my threads to drop what they're doing in the middle of something (which is what would happen if I made them daemon threads). So when the application is being shutdown, my code calls the interrupt method on these threads, which sets the interrupt flag on them, and the next time those threads are waiting or sleeping they check the interrupt flag and throw an InterruptedException, which I can use to bail out of whatever infinite-loop processing/sleeping logic the threads are engaged in. (And if the thread doesn't wait or sleep, it can just check the interrupt flag periodically.) So it is an instance of an exception being used to change the logical flow. The only reason you would log it at all is in an example program to show you what's happening, or if you're debugging a problem where interrupt logic is not working correctly.

InterruptedException will be thrown if interrupt is called on the waiting thread before the computation has completed.

ExecutionException will be thrown if the computation involved (Task in this case) throws an exception itself.

How you want to handle this will entirely depend on your application.

EDIT: Here's a demonstration of being interrupted:

import java.util.concurrent.*;public class Test{    public static void main(String[] args) throws Exception    {        ExecutorService executor = Executors.newFixedThreadPool(2);        Future<String> future = executor.submit(new SlowCallable());        executor.submit(new Interruptor(Thread.currentThread()));        try        {            System.out.println(future.get());        }        catch (InterruptedException e)        {            System.out.println("I was interrupted");        }    }    private static class Interruptor implements Callable<String>    {        private final Thread threadToInterrupt;        Interruptor(Thread threadToInterrupt)        {            this.threadToInterrupt = threadToInterrupt;        }        public String call() throws Exception        {            Thread.sleep(2000);            threadToInterrupt.interrupt();            return "interrupted other thread";        }    }    private static class SlowCallable implements Callable<String>    {        public String call() throws Exception        {            Thread.sleep(5000);            return "finished";        }    }}

The IBM Developer Works article Dealing with InterruptedException has some advice on how to handle InterruptedException.