MESSAGE
| DATE | 2014-12-13 |
| FROM | Ruben Safir
|
| SUBJECT | Subject: [LIU Comp Sci] Gates HW problems
|
From owner-learn-outgoing-at-mrbrklyn.com Sat Dec 13 23:23:19 2014
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Date: Sat, 13 Dec 2014 23:23:16 -0500
From: Ruben Safir
To: learn-at-nylxs.com
Cc: Samir Iabbassen
Subject: [LIU Comp Sci] Gates HW problems
Message-ID: <20141214042315.GA23048-at-panix.com>
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I can't find my note on the gates problem from the review and there IS
not notes of logic functions. The way Manesh answered the problem seemd
logical, and it returned logical outputs according to the logics table
2:
Logic Gates
Consider following scenario.
A system used 3 switches A, B and C; a combination of switches
determines
whether an alarm, X, sounds: If switch A or switch B are in the ON
position and if switch C is in the OFF position then a signal to sound
an
alarm, X is produced.
1. Establishing the truth table of the circuit.
A B C F
--------
0 0 0 0
0 0 1 0
0 1 0 1
0 1 1 0
1 0 0 1
1 0 1 0
1 1 0 1
1 1 1 0
2. Determine output functions X= f(A,B,C)
(A+B) * C' = F
which would be seemingly be correct. But the review had an answer like
this:
F(A,B,C) = A'BC' + AB'C' + A'B'C'
which I would think is just crazy, but both functions are equal
That, if of itself is a weird property of bollean math, that is, if you
set F = 1 (True), all of the combinations of a truth table, 'or'
together, solves for the function of F
But I can't find this material in any of the online notes, or any of my
hand notes, or in the text, or even in the ancilary texts that the
slides came from.
I did find this page, so I want to share it from you...
http://www.ee.surrey.ac.uk/Projects/CAL/digital-logic/formsdef/index.html
This seems to cover more of the material for this section of the final
plus some additional material which is closely related.
My question is, how did we build this into a logic gate diagram?
Ruben
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