Question: 2. Design an even-parity checker for values 0-15. An even-parity checker takes four bit binary values from 0-15 and generates a1' at the output when

2. Design an even-parity checker for values 0-15. An even-parity checker takes four bit binary values from 0-15 and generates a"1' at the output when there are even number of ones in the input binary representation, and generates a V' at the output if there are odd number of ones in the input binary representation. Remember: Zero is considered even. This problem has three parts: 2.a) Write the Minterm List of the Output of this even-parity checker. 2.b) Determine the minimal SOP representation of this even-parity checker. 2.c) Implement the output of this even-parity checker using minimal number of only NAND gates (No need to draw the circuit. Just write the only NAND Expression of the output.)

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