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2. [20pts]. A given system has three sensors (A, B and C). The system operates properly when exactly one of the sensors has its output equal to 1 . An alarm ( F ) must be raised when two or more sensors have the output of 1 . The problems are: (A) Show the truth table for F=F(A,B,C). [5pts] (B) Using K maps to find the minimum-cost SOP expression for F. [5pts] : 1. , 2. Total 3 pages this is the 1th page (C) Draw the minimum-cost SOP circuit and calculate the cost of this circuit. [5pts] (D) Design the circuit using only NAND gates. Draw the circuit. [5pts]