Determining the operational state of a bulb without using a Light Dependent Resistor (LDR) can involve alternative optoelectric components that measure light intensity or detect current flow. The discussion highlights the need to clarify the term "bulb state," which refers to whether the bulb is operational or defective, particularly in the context of a circuit involving multiple LEDs. The circuit's design aims to monitor ambient light levels and provide indicators for bulb failure, suggesting that measuring light output or current flow could serve as effective methods. Additionally, the conversation touches on the importance of time delays in detecting bulb failure, as immediate detection may not account for the brief delay in light output. Overall, various electronic components can be explored to enhance the monitoring of bulb functionality in the circuit.