MaxAvion Posted January 24, 2012 Posted January 24, 2012 I'm trying to solve a very simple logic problem. We've been asked to construct a truth table and then a Karnaugh map based on the truth table to simplify the expression, then create a 2nd truth table to verify that the simplified version (from the K Map) is logically equivalent. For some reason my two truth tables are not lining up so I must be doing something wrong. The question says that the variables X Y Z each represent sensors, the state of M is true (=1) when one or more sensors are on. For a truth table this would be every row aside from the first one where all are equal to 0, correct? Then my K Map gives me a group of 6 and a group of 2 which overlaps once with the 6, but the resulting expression is X'Z which is not equivalent. This is driving me crazy because I know the problem is very simple. I'd really appreciate any advice here. Also if my question isn't clear I'd be more than happy to send a PDF with the problem and my solution I just can't post it here. Thanks in advance!!
MaxAvion Posted January 24, 2012 Author Posted January 24, 2012 I've been able to sort this problem out. Turns out I was illegally grouping on the Karnaugh map which was resulting in a false simplified expression. Don't you just hate it when you make silly mistakes and then continue doing it over and over again
khaled Posted January 26, 2012 Posted January 26, 2012 (edited) Karnaugh Map is a special type of Truth Table, in order to resolve some boolean statements ... http://en.wikipedia.org/wiki/Karnaugh_map Edited January 26, 2012 by khaled
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