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September 26th, 2016, 10:20 AM  #1 
Newbie Joined: Sep 2016 From: Manila Philippines Posts: 2 Thanks: 0  Advanced Boolean Algebraic Equations Basic Equations(1&0) 1+1 = 1 1*1=1 1+0 = 1 1*0=0 0+0 = 0 0*0=0 A+1=1 A*1=A A+0=A A*0=0 A+A=A A*A=A A+A'=1 A*A'=0 Basic Equation(Variables) 1) A+AB = A 2) A+A'B = A+B 3) AB+AB' = A Advance Equation(Multivariable) 1) AB+AB'C = AB+AC 2) A'C+B'C+AB = C+AB 3) A'B+B'C+A'C = A'B+B'C 4) ABC+BC'D+ABD = ABC + BC'D =============================================== Note: by using these equations, you can skip on using long solution process and solve long Boolean problems in less than 10 secs (once you master this). =============================================== Sample easy problem: A'B'C' + ABCD' +ABC + A'C' + AB'C'D' + AB'D +AD' + BC'D' + B'D' + AB' first use Basic Equation(Variables) no.1 you will get: ABC + A'C' +AD' + BC'D' +B'D' + AB' next use Advance Equation no.1 you will get: AC + A'C' + AD' + C'D' + AB' then use Advance Equation no.3 you will get: AC + A'C' + AD' + AB = A'C' + A(B+C+D') Easy right? sample difficult problem: AB'C'D + A'BC +B'C'D + B'D + BC' + AC'D + A'CD' answer: A'C + BC' + B'D Last edited by skipjack; September 26th, 2016 at 10:12 PM. 
September 26th, 2016, 12:41 PM  #2 
Senior Member Joined: Sep 2015 From: CA Posts: 926 Thanks: 501 
When you get older like me you find that remembering formulas (formulae?) is much more difficult than remembering the concepts they are based on. If you truly grok the concepts you can replicate the formulas on demand. The reverse is not at all true. 
October 11th, 2016, 07:59 PM  #3 
Senior Member Joined: Nov 2010 From: Indonesia Posts: 1,163 Thanks: 111  Agree with this one. My peers think that I am a trigonometry master, able to use any trigonometry formula learned in High School. In fact, I only know the most basic formulas and derive the more complicated ones from them.


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