Which one of the following gives the simplified sum of products expression for the Boolean function F = m 0 + m 2 + m 3 + m 5 , where m 0 , m 2 , m 3 and m 5 are minterms corresponding to the inputs A, B and C and A as the MSB and C as the LSB?

Correct Answer is : A¯Climits¯+A¯B+AB¯C

\stackrel{¯}{A}B + A_{{¯} \stackrel{¯}{B}C\limits}^{{¯}} + \stackrel{¯}{AB}C

A_{{¯}C\limits}^{{¯}} + \stackrel{¯}{A}B + \stackrel{¯}{AB}C

A_{{¯}C\limits}^{{¯}} + \stackrel{¯}{AB} + \stackrel{¯}{AB}C

\stackrel{¯}{A}BC + A_{{¯}C\limits}^{{¯}} + \stackrel{¯}{AB}C

GATE Electronics and Communications (EC) 2017 Shift 1 Solved Paper

Question : 53 of 65

Marks: +1, -0

Which one of the following gives the simplified sum of products expression for the Boolean function F = m₀ + m₂ + m₃ + m₅, where m₀, m₂, m₃ and m₅ are minterms corresponding to the inputs A, B and C and A as the MSB and C as the LSB?

$\;{A}↖{¯}B + A↙{{¯} \;{B}↖{¯}C\limits}↖{{¯}} + \;{AB}↖{¯}C$
$A↙{{¯}C\limits}↖{{¯}} + \;{A}↖{¯}B + \;{AB}↖{¯}C$
$A↙{{¯}C\limits}↖{{¯}} + \;{AB}↖{¯} + \;{AB}↖{¯}C$
$\;{A}↖{¯}BC + A↙{{¯}C\limits}↖{{¯}} + \;{AB}↖{¯}C$

Validate

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