38 votes 38 votes What is the minimum number of $2$-input NOR gates required to implement a $4$ -variable function expressed in sum-of-minterms form as $f=\Sigma(0,2,5,7, 8, 10, 13, 15)?$ Assume that all the inputs and their complements are available. Answer: _______ Digital Logic gatecse-2019 numerical-answers digital-logic canonical-normal-form 2-marks + – Arjun asked Feb 7, 2019 • retagged Nov 30, 2022 by Lakshman Bhaiya Arjun 30.7k views answer comment Share Follow See all 13 Comments See all 13 13 Comments reply Show 10 previous comments vishnu_m7 commented Nov 25, 2020 reply Follow Share @mrinmoyh 4 NOR gates are required when complemented inputs are not available. 4 votes 4 votes Shiva Sagar Rao commented Dec 10, 2020 reply Follow Share Here important statement given in question is: Assume that all the inputs and their complements are available. If complements are NOT available then minimum $4$ NOR gates($2$ – input) are required to implement Ex – NOR. 0 votes 0 votes Vishal_kumar98 commented Feb 11, 2021 reply Follow Share Fascinated 0 votes 0 votes Please log in or register to add a comment.
1 votes 1 votes K-Map for given minterms $\sum(0,2,5,7,8,10,13,15)$ is: $f$= $bd+b'd'= (bd+b')(bd+d')=(b'+d)(b+d')$ It is given that inputs and their compliments are available, following is the implementation of $f$ using three $2$ input NOR gate: Hence 3 is the correct answer Ashwani Kumar 2 answered Feb 7, 2019 Ashwani Kumar 2 comment Share Follow See all 5 Comments See all 5 5 Comments reply Lakshman Bhaiya commented Feb 7, 2019 reply Follow Share I approach in a different way in exam time i mark $4$ NOR GATE 0 votes 0 votes Shashi Shekhar 1 commented Feb 22, 2019 reply Follow Share I think 4 is correct , don't you think if question specifically says that we have to implement sum of minterm not product of sum , I may be wrong plz see it and reply @Lakshman Patel RJIT 0 votes 0 votes Lakshman Bhaiya commented Feb 22, 2019 i edited by Lakshman Bhaiya Feb 22, 2019 reply Follow Share @Shashi Shekhar 1 Question given that sum of minterms(sum of product term )but they want to implement using only NOR GATE Implement using maxterm or minterm answer should be same they only give minterm like $f(A,B,C,D)=\sum(0,2,5,7,8,10,13,15)$ If we can implement only NAND GATE then minterm is useful, but we can also represent like $f(A,B,C,D)=\Pi(1,3,4,6,9,11,12,14)$ if we implement using only NOR GATE then MAxterm will be useful. So, the answer is $3$ see my answer below 0 votes 0 votes akash.dinkar12 commented Feb 22, 2019 reply Follow Share @Lakshman Patel RJIT Correct answer is 3 not 4... 1 votes 1 votes Lakshman Bhaiya commented Feb 22, 2019 reply Follow Share @ akash.dinkar12 Yes, the answer should be ${\color{Orchid}3 }$, because they give both inputs (pure from and ${\color{Red} {complemented }}$ form) and wants ${\color{DarkOrange}{minimum} }$ ${\color{Magenta}{NOR} }$ GATES. 0 votes 0 votes Please log in or register to add a comment.
0 votes 0 votes Answer is 3, just use de moragan' s law in this question. Jhaiyam answered Jul 2, 2020 Jhaiyam comment Share Follow See all 0 reply Please log in or register to add a comment.
–1 votes –1 votes ............... Krishnahs answered Mar 27, 2019 • edited Mar 15, 2020 by Krishnahs Krishnahs comment Share Follow See all 0 reply Please log in or register to add a comment.