1. An integrated circuit (“IC”) comprising: a) a plurality of configurable logic circuits for receiving configuration data and configurably performing a set of operations based on the configuration data; and b) a plurality of hybrid circuits, each particular hybrid circuit comprising: 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 particular hybrid circuit to connect the input set to the output set in a particular manner, wherein the particular hybrid circuit (i) performs an interconnect operation when the particular hybrid circuit receives only configuration data on the set of select lines and (ii) performs a logic operation when the particular hybrid circuit receives at least partly non-configuration data on the set of select lines.