Here’s the Karnaugh map:
The answer I should be getting from the Karnaugh should be:
T = R ∙ (CGM)'
I’m really not seeing how this was arrived at through any simplification methods I’ve learned thus far. I can see the answers that are intended are correct (I think), though.
From what I know, the best answer I can come up with to simplify (only) the Kargnaugh map is:
T=RCG'+RCM'+RC' to: T=R∙(CG'+CM'+C')
Using sum of products you should be able to derive:
RC’ + RCG’ + RCGM’
Substitute out the R:
R(C’ + CG’ + CGM’)
Use the identity A + A’B = A + B
R(C’ + G’ + CGM’)
That same identity works as a multivariable expression
R(C’ + G’ + M’)
Then apply DeMorgans