2 votes 2 votes How many different truth tables of the compound propositions are there that involve the propositions $p$ & $q$ ? $2$ $4$ $8$ $16$ Digital Logic ugcnetcse-june2014-paper2 digital-logic boolean-algebra + – makhdoom ghaya asked Jun 25, 2016 • retagged Jul 8, 2016 by Arjun makhdoom ghaya 8.9k views answer comment Share Follow See all 3 Comments See all 3 3 Comments reply Lakshman Bhaiya commented May 2, 2017 reply Follow Share Option (B) 0 votes 0 votes JashanArora commented Dec 11, 2019 reply Follow Share No. of compound propositions for 2 variables => Different combinations for 2 variables = $2^2$ Values possible for each entry in truth table =$2$ So, $2^{2^2}$ = $16$ https://math.stackexchange.com/questions/505393/how-many-semantically-different-boolean-functions-are-there-for-n-boolean-variab 1 votes 1 votes Hira Thakur commented Jul 7, 2023 reply Follow Share anyone can explain what are those $16$ combinations?? 0 votes 0 votes Please log in or register to add a comment.
Best answer 4 votes 4 votes Number of different truth table means number of different functions possible with p and q. ... Now any truth table will contain 4 rows as there are two propositions for which we are making the truth table p and q. .. Now number of different functions will be the number of ways this 4 rows will be assigned values. ..each row can either be 0 or 1....therefore total possibility equals 2^4= 16 Therefore option d debanjan sarkar answered Jun 25, 2016 • selected Jun 25, 2016 by Desert_Warrior debanjan sarkar comment Share Follow See all 0 reply Please log in or register to add a comment.
2 votes 2 votes since there are 2 variables p and q formula is 22^n so ans is 22^2=24=16 ans is D few copound proposition are as given below pvq , p xor q, p nor q , p and q , ~ p , ~ q, p nand q , p , q and so on... Sanjay Sharma answered Sep 16, 2016 Sanjay Sharma comment Share Follow See all 7 Comments See all 7 7 Comments reply Show 4 previous comments Habibkhan commented Oct 8, 2016 reply Follow Share Sir I respect you of being veteran..Plz accept my request..It is a discussion forum..If I had been in your place , i.e. if I were Veteran , I would not have selected my own answers no matter how good it be. I also write answers which are helpful and useful to others. 3 votes 3 votes Sanjay Sharma commented Oct 8, 2016 reply Follow Share i am just a learner and will remain learner in my life . you will be veteran in just a short of span of time so it is not a big deal and surely ur ans will be selected as best by all . 0 votes 0 votes Habibkhan commented Oct 8, 2016 reply Follow Share No I have no any wrong intentions.my intention is to be learner as well.I believe in sharing and caring.If someone asks questions I believe that I learn from that.I like this mode of learning. 1 votes 1 votes Please log in or register to add a comment.
0 votes 0 votes No of different truth tabmes is 2n2 here n=2 so 24 = 16 focus _GATE answered Sep 16, 2016 focus _GATE comment Share Follow See 1 comment See all 1 1 comment reply Imarati Gupta commented Sep 18, 2016 reply Follow Share if variable is 1 then 2^n^2 it will give only 2 truth values but it should be 4 e.g p , ~p , T ,F 0 votes 0 votes Please log in or register to add a comment.