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EEL3712 Logic Design Fall 2017 page 3 1. (11pts-2+2+2+3+2 (bonus)) Solve the following questions. a) Build a 8-to-1 MUX from a number of 2-to-1 MUX(S) only. Please also give the logic equation for the 8-t0-1 MUX that you made. b) Build a 6-to-1 MUX from a number of 2-to-1 MUX(s) only. Please also give the logic equation for the 6-to-1 MUX that you designed. c) Please write the Boolean equation of a two input XOR gate, and then use only 2-to-1 MUX(s) to build it. many NAND gates you need? input XOR gate? Please draw the logic diagram using least number of NAND gates d) Please use only NAND gates to build a two input XOR gate (logic diagram). How e) (Bonus +2) What is the minimized number of NAND gates to implement the two again.

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0 1コ 2지 2 x Sy 3 2Y1 2 X1 2X1 sy

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