Design 4-16 Decoder & Full Subtractor Systematically

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A systematic approach to expressing a boolean equation like "ab+a'c" using a multiplexer involves understanding the function's truth table and applying Karnaugh maps (K-maps) for simplification. For designing a 4 to 16 decoder using 2 to 4 decoders, one can cascade multiple 2 to 4 decoders and use additional gates to achieve the desired output. The design of a full subtractor can also be approached by utilizing decoders to derive the necessary logic functions. Step-by-step methods typically include defining the truth table, simplifying using K-maps, and implementing the circuit with the appropriate components. Textbooks often provide examples that can guide the design process effectively.
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)!
 
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