21 votes 21 votes A Boolean function $f$ is to be realized only by $\text{NOR}$ gates. Its $K$-map is given below: The realization is Digital Logic gate1987 digital-logic k-map + – makhdoom ghaya asked Nov 15, 2016 • recategorized Apr 22, 2021 by Lakshman Bhaiya makhdoom ghaya 4.2k views answer comment Share Follow See all 2 Comments See all 2 2 Comments reply Manu Thakur commented Dec 14, 2017 reply Follow Share minimized expression = a+bc a+bc = (a+b)(a+c) (a+b)(a+c) = (a+b)'(a+c)' = ((a+b)' + (a+c)')' = (a+b)(a+c) (D) is the correct option! 7 votes 7 votes Punit Sharma commented Jan 7, 2019 reply Follow Share just minimize the function using K map in terms of 0s means in POS form ..as NOR gates are use to realize POS form ..if you do it ..you will get (a+b)(a+c) which is option d) 0 votes 0 votes Please log in or register to add a comment.
Best answer 26 votes 26 votes Two Max Terms are: $(a+b)(a+c)$ so, $“a"$ is common here only possibility is option D. K-map will give min terms $= a[4 1's \;\text{circle}] + bc[2 1's\;\text{box}]$ Option D circuit will give $= (a+b) (a+c) = a+bc$ D will be answer. papesh answered Nov 15, 2016 • edited Apr 15, 2021 by Lakshman Bhaiya papesh comment Share Follow See all 6 Comments See all 6 6 Comments reply Show 3 previous comments Tuhin Dutta commented Oct 22, 2017 reply Follow Share @ Papesh Option D ckt will give = (a+b) (b+c) = a+bc Just a small typo : Option D ckt will give = (a+b) (a+c) = a+bc 1 votes 1 votes tusharp commented Apr 14, 2019 reply Follow Share NOR - NOR == OR AND realization. It will take less time to analyze rather than doing complement and all. 4 votes 4 votes raj26 commented May 17, 2021 reply Follow Share 1st part of answer is nice use of common sense. 0 votes 0 votes Please log in or register to add a comment.
5 votes 5 votes Ans: varunraj answered Mar 20, 2018 varunraj comment Share Follow See all 0 reply Please log in or register to add a comment.
–1 votes –1 votes To implement logic function with only NOR, first we need to express it in SOP form. lambda answered Mar 28, 2018 lambda comment Share Follow See all 0 reply Please log in or register to add a comment.