Consider the following sum of products expression, F F = ABC + A_{{¯}B\limits}^{{¯}C} + \stackrel{¯}{AB}C + \stackrel{¯}{A}BC + A_{{¯} \stackrel{¯}{B}C\limits}^{{¯}} The equivalent product of sums expression is

Correct Answer is : F=(A+B¯+C)(A¯+B+C)(A¯+B¯+C)

F = (A + \stackrel{¯}{B} + C) ( \stackrel{¯}{A} + B + C) ( \stackrel{¯}{A} + \stackrel{¯}{B} + C)

F = (A + \stackrel{¯}{B} + \stackrel{¯}{C}) (A + B + C) ( \stackrel{¯}{A} + \stackrel{¯}{B} + \stackrel{¯}{C})

F = ( \stackrel{¯}{A} + B + \stackrel{¯}{C}) (A + \stackrel{¯}{B} + \stackrel{¯}{C}) (A + B + C)

F = ( \stackrel{¯}{A} + \stackrel{¯}{B} + C) (A + B + \stackrel{¯}{C}) (A + B + C)

GATE Electrical Engineering (EE) 2015 Shift 2 Solved Paper

Question : 23 of 65

Marks: +1, -0

Consider the following sum of products expression, F

F = ABC + A↙{{¯}B\limits}↖{{¯}C} + \;{AB}↖{¯}C + \;{A}↖{¯}BC + A↙{{¯} \;{B}↖{¯}C\limits}↖{{¯}

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The equivalent product of sums expression is

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

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