The task is to design a circuit that will detect low-fuel level in a car. The fuel-level sensor outputs the fuel level as a 3-bit binary unsigned number, with 000 meaning empty and 111 meaning full. Your circuit should illuminate a low-fuel indicator light by setting the output L to 1 when the fuel level drops below 3. Give the truth table that characterizes this circuit and give an SOP(sum of products) implementation using a decoder and one or more OR gates to implement your circuit.