What is awaitable  Part 1 shows that any Task is awaitable. Actually there are other awaitable types. Here is an example:  Task<int> task = new Task<int>(() => 0);
int result = await task.ConfigureAwait(false); // Returns a ConfiguredTaskAwaitable<TResult>.
The returned ConfiguredTaskAwaitable<TResult> struct is awaitable. And it is not Task at all:
public struct ConfiguredTaskAwaitable<TResult>
{
    private readonly ConfiguredTaskAwaiter m_configuredTaskAwaiter;
    internal ConfiguredTaskAwaitable(Task<TResult> task, bool continueOnCapturedContext)
    {
        this.m_configuredTaskAwaiter = new ConfiguredTaskAwaiter(task, continueOnCapturedContext);
    }
    public ConfiguredTaskAwaiter GetAwaiter()
    {
        return this.m_configuredTaskAwaiter;
    }
}
It has one GetAwaiter() method. Actually in part 1 we have seen that Task has GetAwaiter() method too:
public class Task
{
    public TaskAwaiter GetAwaiter()
    {
        return new TaskAwaiter(this);
    }
}
public class Task<TResult> : Task
{
    public new TaskAwaiter<TResult> GetAwaiter()
    {
        return new TaskAwaiter<TResult>(this);
    }
}
Task.Yield() is a another example:
await Task.Yield(); // Returns a YieldAwaitable.
The returned YieldAwaitable is not Task either:
public struct YieldAwaitable
{
    public YieldAwaiter GetAwaiter()
    {
        return default(YieldAwaiter);
    }
}
Again, it just has one GetAwaiter() method. In this article, we will look at what is awaitable.
The awaitable / awaiter pattern
By observing different awaitable / awaiter types, we can tell that an object is awaitable if
  It has a GetAwaiter() method (instance method or extension method); 
  Its GetAwaiter() method returns an awaiter. An object is an awaiter if: 
    
      It implements INotifyCompletion or ICriticalNotifyCompletion interface; 
      It has an IsCompleted, which has a getter and returns a Boolean; 
      it has a GetResult() method, which returns void, or a result. 
    
  
This awaitable / awaiter pattern is very similar to the iteratable / iterator pattern. Here is the interface definitions of iteratable / iterator:
public interface IEnumerable
{
    IEnumerator GetEnumerator();
}
public interface IEnumerator
{
    object Current { get; }
    bool MoveNext();
    void Reset();
}
public interface IEnumerable<out T> : IEnumerable
{
    IEnumerator<T> GetEnumerator();
}
public interface IEnumerator<out T> : IDisposable, IEnumerator
{
    T Current { get; }
}
In case you are not familiar with the out keyword, please find out the explanation in Understanding C# Covariance And Contravariance (2) Interfaces. 
The “missing” IAwaitable / IAwaiter interfaces
Similar to IEnumerable and IEnumerator interfaces, awaitable / awaiter can be visualized by IAwaitable / IAwaiter interfaces too. This is the non-generic version:
public interface IAwaitable
{
    IAwaiter GetAwaiter();
}
public interface IAwaiter : INotifyCompletion // or ICriticalNotifyCompletion
{
    // INotifyCompletion has one method: void OnCompleted(Action continuation);
    // ICriticalNotifyCompletion implements INotifyCompletion,
    // also has this method: void UnsafeOnCompleted(Action continuation);
    bool IsCompleted { get; }
    void GetResult();
}
Please notice GetResult() returns void here. Task.GetAwaiter() / TaskAwaiter.GetResult() is of such case.
And this is the generic version:
public interface IAwaitable<out TResult>
{
    IAwaiter<TResult> GetAwaiter();
}
public interface IAwaiter<out TResult> : INotifyCompletion // or ICriticalNotifyCompletion
{
    bool IsCompleted { get; }
    TResult GetResult();
}
Here the only difference is, GetResult() return a result. Task<TResult>.GetAwaiter() / TaskAwaiter<TResult>.GetResult() is of this case.
Please notice .NET does not define these IAwaitable / IAwaiter interfaces at all. As an UI designer, I guess the reason is, IAwaitable interface will constraint GetAwaiter() to be instance method. Actually C# supports both GetAwaiter() instance method and GetAwaiter() extension method. 
Here I use these interfaces only for better visualizing what is awaitable / awaiter. Now, if looking at above ConfiguredTaskAwaitable / ConfiguredTaskAwaiter, YieldAwaitable / YieldAwaiter, Task / TaskAwaiter pairs again, they all “implicitly” implement these “missing” IAwaitable / IAwaiter interfaces. In the next part, we will see how to implement awaitable / awaiter.
Await any function / action
In C# await cannot be used with lambda. This code:
int result = await (() => 0);
will cause a compiler error:
  Cannot await 'lambda expression'
This is easy to understand because this lambda expression (() => 0) may be a function or a expression tree. Obviously we mean function here, and we can tell compiler in this way:
int result = await new Func<int>(() => 0);
It causes an different error:
  Cannot await 'System.Func<int>'
OK, now the compiler is complaining the type instead of syntax. With the understanding of the awaitable / awaiter pattern, Func<TResult> type can be easily made into awaitable.
GetAwaiter() instance method, using IAwaitable / IAwaiter interfaces
First, similar to above ConfiguredTaskAwaitable<TResult>, a FuncAwaitable<TResult> can be implemented to wrap Func<TResult>:
internal struct FuncAwaitable<TResult> : IAwaitable<TResult>
{
    private readonly Func<TResult> function;
    public FuncAwaitable(Func<TResult> function)
    {
        this.function = function;
    }
    public IAwaiter<TResult> GetAwaiter()
    {
        return new FuncAwaiter<TResult>(this.function);
    }
}
FuncAwaitable<TResult> wrapper is used to implement IAwaitable<TResult>, so it has one instance method, GetAwaiter(), which returns a IAwaiter<TResult>, which wraps that Func<TResult> too. FuncAwaiter<TResult> is used to implement IAwaiter<TResult>:
public struct FuncAwaiter<TResult> : IAwaiter<TResult>
{
    private readonly Task<TResult> task;
    public FuncAwaiter(Func<TResult> function)
    {
        this.task = new Task<TResult>(function);
        this.task.Start();
    }
    bool IAwaiter<TResult>.IsCompleted
    {
        get
        {
            return this.task.IsCompleted;
        }
    }
    TResult IAwaiter<TResult>.GetResult()
    {
        return this.task.Result;
    }
    void INotifyCompletion.OnCompleted(Action continuation)
    {
        new Task(continuation).Start();
    }
}
Now a function can be awaited in this way:
int result = await new FuncAwaitable<int>(() => 0);
GetAwaiter() extension method
As IAwaitable shows, all that an awaitable needs is just a GetAwaiter() method. In above code, FuncAwaitable<TResult> is created as a wrapper of Func<TResult> and implements IAwaitable<TResult>, so that there is a  GetAwaiter() instance method. If a GetAwaiter() extension method  can be defined for Func<TResult>, then FuncAwaitable<TResult> is no longer needed:
public static class FuncExtensions
{
    public static IAwaiter<TResult> GetAwaiter<TResult>(this Func<TResult> function)
    {
        return new FuncAwaiter<TResult>(function);
    }
}
So a Func<TResult> function can be directly awaited:
int result = await new Func<int>(() => 0);
Using the existing awaitable / awaiter - Task / TaskAwaiter
Remember the most frequently used awaitable / awaiter - Task / TaskAwaiter. With Task / TaskAwaiter, FuncAwaitable / FuncAwaiter are no longer needed:
public static class FuncExtensions
{
    public static TaskAwaiter<TResult> GetAwaiter<TResult>(this Func<TResult> function)
    {
        Task<TResult> task = new Task<TResult>(function);
        task.Start();
        return task.GetAwaiter(); // Returns a TaskAwaiter<TResult>.
    }
}
Similarly, with this extension method:
public static class ActionExtensions
{
    public static TaskAwaiter GetAwaiter(this Action action)
    {
        Task task = new Task(action);
        task.Start();
        return task.GetAwaiter(); // Returns a TaskAwaiter.
    }
}
an action can be awaited as well:
await new Action(() => { });
Now any function / action can be awaited:
await new Action(() => HelperMethods.IO()); // or: await new Action(HelperMethods.IO);
If function / action has parameter(s), closure can be used:
int arg0 = 0;
int arg1 = 1;
int result = await new Action(() => HelperMethods.IO(arg0, arg1));
Using Task.Run()
The above code is used to demonstrate how awaitable / awaiter can be implemented. Because it is a common scenario to await a function / action, so .NET provides a built-in API: Task.Run():
public class Task2
{
    public static Task Run(Action action)
    {
        // The implementation is similar to:
        Task task = new Task(action);
        task.Start();
        return task;
    }
    public static Task<TResult> Run<TResult>(Func<TResult> function)
    {
        // The implementation is similar to:
        Task<TResult> task = new Task<TResult>(function);
        task.Start();
        return task;
    }
}
In reality, this is how we await a function:
int result = await Task.Run(() => HelperMethods.IO(arg0, arg1));
and await a action:
await Task.Run(() => HelperMethods.IO());