A programmable input structure for a logic block provides the capability of “bouncing” a logic block input signal back to the interconnect structure of the integrated circuit, and/or to other input terminals of the logic block, without disabling other functions in the logic block. A programmable input multiplexer circuit selects one of the available signals from the interconnect structure, and passes the selected interconnect signal to a logic block. The signal can be disabled within the logic block by programming a bounce multiplexer circuit to select a static value (e.g., power high or ground) instead of the selected interconnect signal. Therefore, the selected signal is safely provided to the interconnect structure and/or another input multiplexer circuit, in addition to the logic block input terminal.