Some embodiments of the invention provide a configurable integrated circuit (“IC”). This IC includes several configurable logic circuits for receiving configuration data and configurably performing a set of operations based on the configuration data. It also includes several hybrid circuits. Each particular hybrid circuit has: (1) a set of inputs, (2) a set of outputs for selectively connecting to the set of inputs, and (3) a set of select lines for receiving select signals that direct the hybrid circuit to connect the input set to the output set in a particular manner. At least one select signal is for controllably receiving configuration data and at least one select line is for controllably receiving signals generated by the configurable logic circuits.