0 votes 0 votes Which Boolean function does the following Karnaugh map represent? Inclusive $\text{NOR}$ Exclusive $\text{NOR}$ Exclusive $\text{OR}$ Inclusive $\text{OR}$ Digital Logic uppcl2018 digital-logic boolean-algebra k-map + – admin asked Jan 5, 2019 edited Apr 18, 2022 by Lakshman Bhaiya admin 837 views answer comment Share Follow See all 0 reply Please log in or register to add a comment.
1 votes 1 votes $f(a,b,c)=\sum m(1,2,4,7)$ is a majority circuit and it is XOR $f(a,b,c)=\sum m(1,2,4,7) f={a}'{b}'c+{a}'b{c}'+a{b}'{c}'+abc$ $f(a,b,c)={a}'{b}'c+{a}'b{c}'+a{b}'{c}'+abc$ after solving the equation, we get $f(a,b,c)=a\oplus b\oplus c$ Anurag Parothia 1 answered Jan 29, 2019 edited Jan 29, 2019 by Lakshman Bhaiya Anurag Parothia 1 comment Share Follow See all 0 reply Please log in or register to add a comment.
0 votes 0 votes Either we can take each minterm from the k-map and write sop, simplify to obtain exclusive OR as there are no groups formed or we can see the relationship Between the Boolean variables resulting in a 1 in the k-map and we can deduce from the option . Shashi Shekhar 1 answered Jan 6, 2019 Shashi Shekhar 1 comment Share Follow See all 0 reply Please log in or register to add a comment.
0 votes 0 votes In any k-map, if all minterms (1) are diagonal to each other, then there is only one minterm in each valid sub-cube and thus the function representing that k-map is definitely "Ex-Nor" or "Ex-Or" Now the question is that when it will ex-or and when it will be ex-nor? when the first 1 is present in the 0th cell i.e upper left cell, then it will represent Ex-Nor. As shown below. 1 0 1 0 0 1 0 1 F = A $\bigodot$ B $\bigodot$ C when the first 1 is present in the 1st cell, then it will represent Ex-or. As shown below. 0 1 0 1 1 0 1 0 F = A $\bigoplus$ B $\bigoplus$ C SIMILAR FOR FOUR VARIABLE CASE. saurav raghaw answered Mar 3, 2019 saurav raghaw comment Share Follow See all 0 reply Please log in or register to add a comment.