byte + byte = int… why?

Question

Looking at this C# code:

byte x = 1;
byte y = 2;
byte z = x + y; // ERROR: Cannot implicitly convert type \'int\' to \'byte\'

The result of

Answer 1

I've test performance between byte and int.
With int values :

class Program
{
    private int a,b,c,d,e,f;

    public Program()
    {
        a = 1;
        b = 2;
        c = (a + b);
        d = (a - b);
        e = (b / a);
        f = (c * b);
    }

    static void Main(string[] args)
    {
        int max = 10000000;
        DateTime start = DateTime.Now;
        Program[] tab = new Program[max];

        for (int i = 0; i < max; i++)
        {
            tab[i] = new Program();
        }
        DateTime stop = DateTime.Now;

        Debug.WriteLine(stop.Subtract(start).TotalSeconds);
    }
}

With byte values :

class Program
{
    private byte a,b,c,d,e,f;

    public Program()
    {
        a = 1;
        b = 2;
        c = (byte)(a + b);
        d = (byte)(a - b);
        e = (byte)(b / a);
        f = (byte)(c * b);
    }

    static void Main(string[] args)
    {
        int max = 10000000;
        DateTime start = DateTime.Now;
        Program[] tab = new Program[max];

        for (int i = 0; i < max; i++)
        {
            tab[i] = new Program();
        }
        DateTime stop = DateTime.Now;

        Debug.WriteLine(stop.Subtract(start).TotalSeconds);
    }
}

Here the result:
byte : 3.57s 157mo, 3.71s 171mo, 3.74s 168mo with CPU ~= 30%
int : 4.05s 298mo, 3.92s 278mo, 4.28 294mo with CPU ~= 27%
Conclusion :
byte use more the CPU but it cost les memory and it's faster (maybe because there are less byte to alloc)