Systematic approach to boolean equations with multiplexers and decoders

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david90
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Is there a systematic ways of expressing a boolean equation such as "ab+a'c" using multiplexer? Eyeballing and trial and error do not seem to work .
What about decoder? Will k-map help?

I have to design a 4 to 16 decoder using 2 to 4 decoder with some gates. I also have to design a full subtractor using decoder. How can u do it systematically (step by step)?

Thanks!:smile:
 

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Sorry but we are not meant to do homework questions :frown:
 
Just give me an example.
 
I bet your textbook has examples! It might even have done a problem just like the one you ask (but with different sizes)!