Engineering Optimizing Circuit Diagrams with Multiplexers: Eliminating Negations in Inputs

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The discussion focuses on optimizing circuit diagrams using multiplexers while addressing the challenge of negated inputs. The user is seeking a method to eliminate the negation of the variable ~x3 in their design. It is noted that the only way to invert a signal in this context is through a multiplexer. A proposed solution involves the expression x_3(¬x_2 + x_1) + ¬x_3x_2. The conversation emphasizes the importance of finding alternative ways to represent logical variables without negations.
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Homework Statement



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Homework Equations

The Attempt at a Solution


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The multiplexer that is closest to the top of the page has ~x3 as an input but I am not allowed to use the negation of a logical variable as an input. Any way to get rid of this negation?
 
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It's tough to give you assistance on this without giving you too much of a clue.

Notice that the only way you can invert a signal is by using a multiplexer. Also, the solution I found is based on x_3(\bar{x}_2+x_1) + \bar{x}_3x_2.
 

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