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> Boolean Simplification, Am I Right?
filterfool
Posted: November 03, 2014 07:25 pm
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edit: this came out much better when typed before submitting, heres a screenshot of what I meant.

user posted image



--------------------------------------------------
ORIGINAL MESSAGE

Ok so the problem is
_ _ _ _
(A.cool.gif + (C.A)+ C + (A.cool.gif

for which I


___ ___ ___
_ _ _ _
(A.B ) + (C.A)+ C + (A.B )

giving


_ _
A + B + C + A + C + A + B

_
A+A = 1

Hence regardless of the input, the output is 1 ?

This post has been edited by filterfool on November 03, 2014 07:29 pm
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Sch3mat1c
Posted: November 04, 2014 04:58 am
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Try with,

CODE


_  _       _                   _
(A.B) + (C.A)+ C + (A.B)

for which I


___      ___             ___
_  _       _                   _
(A.B ) + (C.A)+ C + (A.B )

giving


                   _           _
A + B  + C + A + C + A + B

   _
A+A = 1


?

Well, no, that blows it out even worse... but if you're doing ASCII art, try to type it in a monospace window (Notepad?), then copy it over and put in a CODE box. It should come out right.

You can also write negation inline with any number of symbols... examples from programming:

C (and related families):
- Negation: ~ or !
- Product: & or &&
- Sum: | or ||

BASIC (and related, and some distant cousins like Ada and VHDL):
- Negation: NOT
- Product: AND
- Sum: OR

General logic:
- Negation: #, \, ~, !, ^, etc.
- Product: *, &
- Sum: +, |
(and other more mathy characters that aren't in the ASCII code space, e.g. from prepositional calculus, set theory, etc.)


Anyways, yes, that appears to be the correct analysis. cool.gif

Tim


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Answering questions is a tricky subject to practice. Not due to the difficulty of formulating or locating answers, but due to the human inability of asking the right questions; a skill that, were one to possess, would put them in the "answering" category.
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Ratch
Posted: February 06, 2015 01:58 am
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FilterFool,

No, you are not correct. The simplification is A'+B+C . You can verify it by a truth table or a k-map.

Ratch

This post has been edited by Ratch on February 06, 2015 01:59 am


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