Final answer:
The question asks about realizing two Boolean logic equations using an 8×1 multiplexer. The provided information on Kirchhoff's rules is not related to the multiplexer question. To implement the desired functions, the multiplexer's select lines are mapped to the variables and its data inputs are used to express the necessary logic.
Step-by-step explanation:
The question pertains to the design of a multiplexer (MUX) in order to realize certain Boolean logic equations. Specifically, it asks about using an 8×1 multiplexer to realize two different functions. However, the rest of the information seems to be referring to principles of electronic circuit analysis, such as Kirchhoff's rules, and is not directly relevant to solving Boolean equations with a multiplexer.
When using a multiplexer to implement Boolean functions, the input variables are used to select the input lines and the function outputs are connected accordingly. Since an 8×1 multiplexer takes 3 select inputs to choose between 8 data inputs, it is feasible to realize the Boolean functions detailed in the student's question with such a device, by assigning the three variables as select lines and designing the data inputs to represent the logic required for each combination of select inputs.