This is an approach where you can transform one boolean expression into a form so that a multiplexer can be implemented.
This can be acheived by applying Boolean Theorems.
Before attempting the design of a multiplexer using the algebraic method, the function to be considered should be minimised using the techniques covered in Minimisation of Boolean Functions.
Minimising the terms and expressions can be important because this allows designers to use the least amount of components and use the most efficient type of multiplexer.
Expanding to standard sum of products form:
The resulting multiplexer implementation is:
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