Based on a previous question (and this ought to be the last of this sequence I promise), I just need to know one more thing. According to this truth table:
I'm told the answer I should be getting by using the sum of products method on the truth table should be:
T = R ∙ (RCGM)'
Unlike before with the Karnaugh map, I can't see how this was arrived at. All I can get is:
T = RC'G'M'+RC'G'M+RC'GM'+RC'GM+RCG'M'+RCG'M+RCGM'
T = R(C'G'M'+C'G'M+C'GM'+C'GM+CG'M'+CG'M+CGM')
T = R(C'(G'M'+G'M+GM'+GM)+C(G'M'+G'M+GM'))
T = R(C'(G'(M'+M)+G(M'+M))+C(G'(M'+M)+GM'))
T = R(C'(G'+G)+C(G'+GM'))
T = R(C'+C(G'+M'))
T = R(C'+G'+M')
T = R(CGM)'
This is the right answer I believe, but it's not the same as what I should supposedly have found.
Thanks again in advance!
Best Answer
The two results are the same.
On the other hand, this means the second
Ris kind of redundant, so I don't know why you'd want to write the solution this way rather than your way.