How do i know where to add the \"missing terms\"? I know for attempting to use W
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How do i know where to add the "missing terms"? I know for attempting to use W1 as the controller we must multiply some of the function by 1 or the missing terms which can be (W1+W1')(W2) in order to factor out W1 for the first product in the function, but if the 2nd and 3rd part of the function already incorporate W1 why must we multiply the second and third part of the function times 1 or (w2+w2') if we are not going to be factoring out W2?
6.7 Consider the functionf W2+Wiw3 +wiw3. Show how repeated application of Shannon's expansion can be used to derive the minterms of fExplanation / Answer
you don't need to remember where to put (x+x') in multiplication. Just put it if required.
if you are ueind sennon's explansion to implement any function using MUX then add (x+x') in that terms which does not have x in multiplication , so derive function such that every term has x or x' in it. now just separate x terms from x' terms and you will get answer.
Now in this case we want to calculate minterms for the function so each term required to be in the form of all three variable. so put (x+x') in multiplication for each variable in each term.
like if term is = W1*W2 then here W3 is missing hence put (W3+W3') in multiplication so we get two new terms which has all three variable in it.
follow the steps for each variable and you will get the function in terms of all terms having all variable. so from that you can easily write minterms of the function
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