In order to classify the objects according to their length, a logic system consisting of the sensors shown above was established. When the sensors in this system detect an object in the area they face, it produces logic-1, in other cases logic-0. If this logic system receives logic-1 from only one sensor, the object is small, If it receives logic-1 from two or more sensors, it decides that the object is of medium length.

a) Set up the truth table of this logic system that produces R = 1 for medium-length objects and R = 0 for other objects. Reduce this R function with the K-diagram and implement the reduced function using only the NAND gate.

b) If the information from these sensors is evaluated with an EEPROM with at least how much data and address paths, the necessary classification can be made? Explain. Draw the relevant EEPROM circuit and show in the form of a table which data information should be saved to which address.

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