You can build an expression tree which contains a bitwise XOR operation using Expression.ExclusiveOr method. For example, you have the following code.
bool value = true ^ false;
Console.WriteLine(value);
Here is the code that is required to build the same functionality using expression tree.
Expression expr = Expression.ExclusiveOr(
Expression.Constant(true),
Expression.Constant(false)
);
Console.WriteLine(Expression.Lambda<Func<bool>>(expr).Compile()());