Engineering How Do You Build a Circuit Using a 4:1 Multiplexer?

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To build a circuit using a 4:1 multiplexer, start by understanding the multiplexer configuration, which includes four inputs and two selector lines. The discussion highlights the importance of utilizing don't-care conditions effectively in the truth table to simplify the circuit design. Participants suggest experimenting with various combinations of the truth table to identify the simplest configurations that can be implemented with the 4:1 MUX. The K-map should guide the selection of input values, particularly focusing on the don't-care states. Overall, the approach involves careful analysis of the truth table and K-map to optimize the circuit design with the multiplexer.
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Hmm, that's a challenging one. I think you've done the correct job of making the K-map, and now you need to play with different combinations of what to make the don't-cares, and what you can do with a 4:1 multiplexer. Your 4:1 MUX actually has 6 inputs and 1 output, right? There's the 4 inputs to the MUX, plus the 2 selector lines. So look at some variations of the truth table with different configurations of the X values (don't cares), and see if the simplest truth table variations are amenable to using a 4:1 MUX to form the outputs of the truth table. I haven't solved the problem myself yet, but that's how I would approach it.
 

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