\({\rm{f}}\left( {{\rm{A}},{\rm{B}},{\rm{C}},{\rm{D}}} \right) = \prod \;M\left( {0,1,3,4,5,7,9,11,12,13,14,15} \right)\) 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

• A. \(\left( {A + \bar C + D} \right)\left( {\bar A + B + D} \right)\)
• B. \(A\bar CD + \bar ABD+ \bar ABC\)
• C. \(\bar AC\bar D + A\bar BC\bar D + A\bar B\bar C\bar D\)
• D. \(\left( {B + \bar C + D} \right)\left( {A + \bar B + \bar C + D} \right)\left( {\bar A + B + C + D} \right)\)