0 votes 0 votes Σm (0, 1, 2, 3) Σm (0, 2, 3, 4) Σm (0, 2, 4, 5) Σm (0, 1, 2, 5) Digital Logic digital-logic + – techbrk3 asked Nov 10, 2017 techbrk3 768 views answer comment Share Follow See all 2 Comments See all 2 2 Comments reply Anu007 commented Nov 10, 2017 reply Follow Share F(x,y,z) = x'y'z' + x'y + xy'z' = y'z' + x'y = Σm (0, 2, 3, 4) 0 votes 0 votes Namit Dhupar commented Nov 10, 2017 reply Follow Share Yes, Just XOR (Z and 1 ) form find the truth table, minimize the bits and you'll obtain what @Anu007 has and that't it! 0 votes 0 votes Please log in or register to add a comment.
1 votes 1 votes Your figure is not clear,though Assuming $I_0=z \oplus 1=z^{'} ,I_1=1,I_2=z^{'},I_3=0$ $F=x^{'}y{'}z^{'}+x^{'}y+xy^{'}z^{'}+xy.0=x^{'}y{'}z^{'}+x^{'}yz^{'}+x^{'}yz+xy^{'}z^{'}$ Hence $F=\sum \left ( 0,2,3,4 \right )$ sourav. answered Nov 10, 2017 sourav. comment Share Follow See all 0 reply Please log in or register to add a comment.
0 votes 0 votes the expression are as follow: => X'Y'(Z XOR 1)+X'Y(1)+XY'Z'+XY.0 => X'Y'(Z'.1+Z.0) +X'Y+XY'Z'+0 {a XOR b = a'b+ab'} => X'Y'Z'+XY'Z'+X'Y(Z+Z') X'Y'Z'+XY'Z'+X'YZ+X'YZ' Which is Σ m(0,4,3,2). so option b is correct. Hira Thakur answered Nov 10, 2017 Hira Thakur comment Share Follow See all 0 reply Please log in or register to add a comment.