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Boolean algebra
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Join Date: Sep 2005
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Hi guys.. Well ive looked at my lecture notes and well they have examples and they are veryyyyyyyyy basic basically i get the concept but the examples are too simple to understand Something difficult...
So i got this question for Tutorial and I basically dont understand of it... I was wondering if u guys could help me out
Simplify the following Boolean expressions. In each case, express the result in Sum of Products form.
(a) PQ’ + Q’P + RST + R’ST + TR’S
(b) AB’ ( C + D’ ) + AB’C’D
Any feedback i'll be very greatful for.... even maybe notes you may wanna direct me too which are good would be greatly appreciated.. thanks in advance... I'm not sure if this is the right section so excuse me if it is in the wrong section
So i got this question for Tutorial and I basically dont understand of it... I was wondering if u guys could help me out
Simplify the following Boolean expressions. In each case, express the result in Sum of Products form.
(a) PQ’ + Q’P + RST + R’ST + TR’S
(b) AB’ ( C + D’ ) + AB’C’D
Any feedback i'll be very greatful for.... even maybe notes you may wanna direct me too which are good would be greatly appreciated.. thanks in advance... I'm not sure if this is the right section so excuse me if it is in the wrong section
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Join Date: Aug 2005
Posts: 80
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I'm kind of confused as to what the ' character is too... Are you sure it isn't one of the logical AND or NOT characters? Did you copy the problem down right?
http://en.wikipedia.org/wiki/Boolean_algebra
-Fredric
http://en.wikipedia.org/wiki/Boolean_algebra
-Fredric
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Join Date: Jul 2005
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(a) PQ’ + Q’P + RST + R’ST + TR’S
P'Q+ST(R+R'+R')
PQ' and Q'P are equivalent expressions, and redunancy is discarded.
R+R' (R or not R) is always true, so:
PQ'+ST+R'ST
Additionally,
PQ' + ST(1+R') == PQ' + ST
(b) AB’ ( C + D’ ) + AB’C’D
AB'C+AB'D'+AB'C'D==AB'(C'+D'+C'D)==AB'(C'(1+D)+D')==AB'(C'+D')==AB'C'+AB'D'
I freakin' love logic. It's really handy to get some philosophy credits and it's practical in application. But just wait until you get to K-maps. They're made of pure Boolean awesome.
P'Q+ST(R+R'+R')
PQ' and Q'P are equivalent expressions, and redunancy is discarded.
R+R' (R or not R) is always true, so:
PQ'+ST+R'ST
Additionally,
PQ' + ST(1+R') == PQ' + ST
(b) AB’ ( C + D’ ) + AB’C’D
AB'C+AB'D'+AB'C'D==AB'(C'+D'+C'D)==AB'(C'(1+D)+D')==AB'(C'+D')==AB'C'+AB'D'
I freakin' love logic. It's really handy to get some philosophy credits and it's practical in application. But just wait until you get to K-maps. They're made of pure Boolean awesome.
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Join Date: Nov 2004
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