engineering recuitment GATE ECE 2023-24 Test Series Digital Electronics Logic Gates and Boolean Algebra Logic Gates
f(A,B,C,D) = Π M (0,1,3,4,5,7,9,11,12,13,14,15) is a max-term representation of a Boolean function f(A,B,C,D) where A is the MSB and D is the LSB. The equivalent minimized representation of this function is
1
\(\left( {A + \bar C + D} \right)\left( {\bar A + B + D} \right)\)
2
\(A\bar CD + \bar ABD+ \bar ABC\)
3
\(\bar AC\bar D + A\bar BC\bar D + A\bar B\bar C\bar D\)
4
\(\left( {B + \bar C + D} \right)\left( {A + \bar B + \bar C + D} \right)\left( {\bar A + B + C + D} \right)\)