Saturday 1 January 2011

Algebra For Dummies

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algebra for dummies
Boolean Algebra?

OK. I have read my text book too many times to count. I am great with math and have a 4.0 in my electrical engineering classes up to this point.

Can anyone explain it in a "Boolean Algebra for Dummies" kind of way. Much appreciated.

BTW it has to do with Digital circuits and logic gates.


Have a look at some ladder diagrams (PLC programming). They represent relay logic circuits and basically every rung in a ladder is a boolean statement of: relay = contact a and/or contact b etc.
Even quite complicated boolean expressions look simple when drawn as ladder diagram. It also helps understand why a or (a and b) = a or why a or (not a and b) = a and b. You simply see the flow of "logical current".
Try http://www.plcs.net/contents.shtml and read links under "creating programs" header. Just to get that simple idea (even without timers, counters and so on)
In ladder "and" is in series and "or" is in parallel. "not" is normally closed contact.
If you need to "not" an expression then invert its contents:
not (a and b) = not a or not b
not (a or b) = not a and not b
or use another "relay" bit to store (a and b) and use it as normally closed later.


Understanding the Vocabulary of Algebra For Dummies









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