My Math Forum About Truth Table, I have a problem..

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 May 26th, 2017, 12:48 PM #1 Newbie   Joined: May 2017 From: New York Posts: 9 Thanks: 0 About Truth Table, I have a problem.. I need to solve this but I couldnt hmm Can anyone solve it ? question : A committee of three decides questions by majority vote. Each member can press a button to signify a “Yes” vote. Construct the truth table for a circuit that passes current only when the majority of the votes is “Yes”. Let A stand for “member A votes ‘Yes’”; let B stand for “member B votes ‘Yes’”; and let C stand for “member C votes ‘Yes’”. Derive a function, f(A, B, C), from the truth table
 May 26th, 2017, 02:28 PM #2 Math Team   Joined: Jan 2015 From: Alabama Posts: 3,264 Thanks: 902 If, as you appear to be saying, you have never taken a class that dealt with these matters, where are you getting these problems? If you know what a "truth table" is, this problem is pretty close to being trivial. There are 2^3= 8 "true" and "false" combinations for 3 things. Writing them as "ABC", in that order, they are TTT, TTF, TFT, TFF, FTT, FTF, FFT, and FFF. That is "all true", "A and B true, C false", "A and C true, F false", etc. Your truth table will have 8 rows, one for each of those possibilities. There will be three columns labeled A, B, C and a fourth column for the result. Write "TTT" under the first three columns for the first row, "TTF" for the second row, etc. under the fourth column, write "T" if the majority of the letters in the first three columns is "T", "F" otherwise.
May 26th, 2017, 02:45 PM   #3
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 Originally Posted by Country Boy If, as you appear to be saying, you have never taken a class that dealt with these matters, where are you getting these problems? If you know what a "truth table" is, this problem is pretty close to being trivial. There are 2^3= 8 "true" and "false" combinations for 3 things. Writing them as "ABC", in that order, they are TTT, TTF, TFT, TFF, FTT, FTF, FFT, and FFF. That is "all true", "A and B true, C false", "A and C true, F false", etc. Your truth table will have 8 rows, one for each of those possibilities. There will be three columns labeled A, B, C and a fourth column for the result. Write "TTT" under the first three columns for the first row, "TTF" for the second row, etc. under the fourth column, write "T" if the majority of the letters in the first three columns is "T", "F" otherwise.
I found these questions from another Math forum, just trying to help...

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