1 votes 1 votes Please explain in detail Digital Logic digital-logic decoder + – Na462 asked Sep 29, 2018 Na462 2.6k views answer comment Share Follow See all 10 Comments See all 10 10 Comments reply Shaik Masthan commented Sep 29, 2018 reply Follow Share it is simply, ∑m(1,3,5,6) -----> just cancel the bubbles... evaluate each and every option, which is equal to the above function, that is the answer. ( Option A is the answer ) 1 votes 1 votes Magma commented Sep 29, 2018 reply Follow Share why I got (Y+Z) (X'+ Y'+Z') (X+Y'+Z) dunno 0 votes 0 votes Magma commented Sep 29, 2018 reply Follow Share OOh both (X+Y'+Z) and (X+Z) = 010 = 2 got it ! 0 votes 0 votes Na462 commented Sep 29, 2018 reply Follow Share I have doubt here :- Since the last gate is a Nand gate can't i write:- F = (X+Y+Z')(X+Y'+Z')(X'+Y+Z')(X'+Y'+Z) 1 3 5 6 Why its wrong ? 0 votes 0 votes Shaik Masthan commented Sep 29, 2018 i edited by Shaik Masthan Sep 29, 2018 reply Follow Share then you have to apply NAND gate on ∏(1,3,5,6). 0 votes 0 votes Na462 commented Sep 29, 2018 reply Follow Share Ohk so the answer should be F' right ? I need to take complement of above F for getting answer isn't it ? 0 votes 0 votes Shaik Masthan commented Sep 29, 2018 reply Follow Share yes, after getting result of your approach, you should complement it ! 0 votes 0 votes Soumya29 commented Sep 30, 2018 reply Follow Share Inside the box, there is one level of AND gates and bubbled o/p make them equivalent to NAND gate. And 2nd level is also NAND gate. So it's a simple NAND- NAND circuit. Or you can cancel out the bubbles and view it as AND-OR circuit. So $F= \Sigma(1,3,5,6) = \Pi(0,2,4,7)$. Now simplify the obtained POS. 1 votes 1 votes Na462 commented Oct 5, 2018 reply Follow Share I got one doubt i get that how it became Σ(1,3,5,6) but we are answering Π(0,2,4,7) which is the complement of the above function ? What i get so far is :- F = (1'.3'.5'.6')' = 1 + 3 + 5 + 6 = Σ(1,3,5,6) ---> This is the actual F but Π(0,2,4,7) is F' na 0 votes 0 votes Shaik Masthan commented Oct 5, 2018 reply Follow Share i hope, you confused ! if F(X,Y,Z) = ∑m (1,3,5,6), then F(X,Y,Z) = ∑m (1,3,5,6) = πM (0,2,4,7) --------> Those are equal, just we represent in POS to SOP form. complement of F(X,Y,Z) = ∑m (0,2,4,7) = πM (1,3,5,6) 2 votes 2 votes Please log in or register to add a comment.
0 votes 0 votes bubbled nor gate means AND gate so in the diagram max terms are there so find kmap for minterms Pavan Karthik answered Oct 1, 2018 Pavan Karthik comment Share Follow See all 0 reply Please log in or register to add a comment.