GATE Electrical Engineering (EE) 2015 Shift 1 Solved Paper

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Question : 48 of 65

Marks: +1, -0

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

$(A + \;{C}↖{¯} + D) ( \;{A}↖{¯} + B + D)$
$\;{AC}↖{¯}D + \;{A}↖{¯}BD + \;{A}↖{¯}BC$
$A↙{{¯}CD\limits}↖{{¯}} + AB↙{{¯}CD\limits}↖{{¯}} + AB↙{{¯} \;{C}↖{¯}D\limits}↖{{¯}$ }
$(B + \;{C}↖{¯} + D) (A + \;{B}↖{¯} + \;{C}↖{¯} + D) ( \;{A}↖{¯} + B + C + D)$

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