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Combinational Logic + Boolean equation help - Page 2

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Raithed China7078 Posts April 21 2008 04:01 GMT #21 I think you're mixing that with something else fof, I didn't mean if they're the equivalence of anything but such as that: bubble NAND gate.... NAND gates are basically (AB)' from the beginning, from that diagram alone, but if the input already gives A' and B' the output is already to be (AB)' wouldn't the NOTs cancel? Because the diagrams you provided have bubbles from input to bubbles of output of equivalent gates.

fight_or_flight United States3988 Posts April 21 2008 04:10 GMT #22 Thats not a NAND gate though. What you do is imagine the output bubble is far away. Then when it changes from that pic you have 2 bubbles on the output which cancel. edit: might be the same thing your saying, I'm getting confused over this whole thread.

Raithed China7078 Posts April 21 2008 04:20 GMT #23 This is a NAND gate: http://hyperphysics.phy-astr.gsu.edu/hbase/electronic/nand.html How is it what I drew not a NAND gate? A NAND gate as a bubble at the output, but I just added two bubbles on the input?

fight_or_flight United States3988 Posts April 21 2008 04:27 GMT #24

fight_or_flight United States3988 Posts April 21 2008 04:29 GMT #25 Thats how you solve it using "bubble logic". You can also do it algebraically with boolean algebra.

berated- United States1134 Posts April 21 2008 04:50 GMT #26 thats some pretty drawing, boolean algebra is so much easier though

azndsh United States4447 Posts April 21 2008 05:28 GMT #27 A' NAND B' = (A' AND B')' = A OR B deMorgan's Law

sigma_x Australia285 Posts April 21 2008 06:15 GMT #28 "break the line change the sign" as they say. btw: BC+B=BC+B*1 (identity law) BC+B*1=B(C+1) (distributive law) p.s. For those using examples from the real numbers to show this, why are you trying to explain properties of boolean algebra/rings using field axioms?

Raithed China7078 Posts April 21 2008 06:19 GMT #29 Alright, and guys, how does... X = (A’ + B’) + (B+C) X = 1? I get (A’ + B’) = (AB)' + (B+C) right? What is the next step?

fight_or_flight United States3988 Posts April 21 2008 06:22 GMT #30 X = (A’ + B’) + (B+C) X = A’ + (B’ + B) + C X = A’ + 1 + C X = 1

Raithed China7078 Posts April 21 2008 06:29 GMT #31 Thank you fof, I'd like to thank everyone for staying up with me while I continue to do this silly stuff. It's 2AM EST. I appreciate it, thanks again fof.

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