using System;
using System.Security.Cryptography;
using System.Text;

namespace ConsoleApplication1
{
    class Program
    {
        static void Main(string[] args)
        {
            string source = "Hello World!";
            using (SHA384 sha384Hash = SHA384.Create())
            {
                //From String to byte array
                byte[] sourceBytes = Encoding.UTF8.GetBytes(source);
                byte[] hashBytes = sha384Hash.ComputeHash(sourceBytes);
                string hash = BitConverter.ToString(hashBytes).Replace("-", String.Empty);

                Console.WriteLine("The SHA384 hash of " + source + " is: " + hash);
            }
        }
    }
}

Output:

The SHA384 hash of Hello World! is: BFD76C0EBBD006FEE583410547C1887B0292BE76D582D96C242D2A792723E3FD6FD061F9D5CFD13B8F961358E6ADBA4A