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September 26th, 2016, 10:20 AM   #1
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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(Multi-variable)
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.
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September 26th, 2016, 12:41 PM   #2
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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.
Thanks from topsquark, Joppy and Darwin1521
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October 11th, 2016, 07:59 PM   #3
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Quote:
Originally Posted by romsek View Post
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.
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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