Solving Boolean Equations: Tips & What to Do Next

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The discussion focuses on solving Boolean equations and the simplification process involved. It confirms that the expression A'B + AB' correctly represents an EXOR operation. Participants suggest reviewing an attachment for additional simplification options and note that the expression AA = 1 is incorrect. They also highlight the potential for further simplifications from the fourth line of the equation, leading to a form resembling PQ + RS. The conversation emphasizes collaborative problem-solving and encourages continued exploration of the topic.
adnankhuram
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Am i doing right?

And what to do next?
 

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This looks right. The last 2 terms would produce an EXOR operation. Remember:

A'B+AB' = A\oplus B

Nothing else comes to mind when simplifying this further. However you can refer to the attachment if there is anything else you can do.
 

Attachments

AA = 1 is not correct.

And there seem to be other possibilities at the top line - consider what is ABC + \bar{A}BC ?
 
Ahh you are right! Nice catch! Haha!
 
Let me encourage a little further and say that I agree with your work until the fourth line, adnankhuram. From there you can make further simplifications to leave something that looks like PQ+RS.
 
Thread 'Have I solved this structural engineering equation correctly?'

Thread 'Have I solved this structural engineering equation correctly?'

Hi all, I have a structural engineering book from 1979. I am trying to follow it as best as I can. I have come to a formula that calculates the rotations in radians at the rigid joint that requires an iterative procedure. This equation comes in the form of: $$ x_i = \frac {Q_ih_i + Q_{i+1}h_{i+1}}{4K} + \frac {C}{K}x_{i-1} + \frac {C}{K}x_{i+1} $$ Where: ## Q ## is the horizontal storey shear ## h ## is the storey height ## K = (6G_i + C_i + C_{i+1}) ## ## G = \frac {I_g}{h} ## ## C...
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