|September 26th, 2016, 10:20 AM||#1|
Joined: Sep 2016
From: Manila Philippines
Advanced Boolean Algebraic Equations
1+1 = 1 1*1=1
1+0 = 1 1*0=0
0+0 = 0 0*0=0
1) A+AB = A
2) A+A'B = A+B
3) AB+AB' = A
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')
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|
Joined: Sep 2015
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|
Joined: Nov 2010
|advanced, algebraic, boolean, equations, simplification|
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