GATE Electrical Engineering (EE) 2014 Shift 2 Solved Paper

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Question : 60 of 65

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The SOP (sum of products) form of a Boolean function is ∑(0,1,3,7,11), where inputs are A, B, C, D (A is MSB, and D is LSB). The equivalent minimized expression of the function is:

$( \;{B}↖{¯} + C) ( \;{A}↖{¯} + C) ( \;{A}↖{¯} + \;{B}↖{¯}) ( \;{C}↖{¯} + D)$
$( \;{B}↖{¯} + C) ( \;{A}↖{¯} + C) ( \;{A}↖{¯} + \;{C}↖{¯}) ( \;{C}↖{¯} + D)$
$( \;{B}↖{¯} + C) ( \;{A}↖{¯} + C) ( \;{A}↖{¯} + \;{C}↖{¯}) (C + D)$
$( \;{B}↖{¯} + C) (A + \;{B}↖{¯}) ( \;{A}↖{¯} + \;{B}↖{¯}) ( \;{C}↖{¯} + D)$

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