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Problem 3 (10 points) Prove that a two-input multiplexor is also universal by showing how to build the NOR gate using multiplexors.

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Answer #1

Answer is as follows:

The truth table with circuit using two input multiplexer is as follows:

if(A+=0 ) Inputs A. Output OUT OUT OUT-(NOT)B OUT else if(A+=1) OUT-0

here if A = 0 than output is invertor of B

else if A = 1 than output is 0.

that acts like same as NOR gate.

So from above circuit it is proved that two - input multiplexer is universal as NOR gate.

if there is any query please ask in comments...

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