Consider the following Boolean expression. F = (X + Y + Z)( \stackrel{¯}{X} + Y)( \stackrel{¯}{Y} + Z) Which of the following Boolean expressions is/are equivalent to \stackrel{¯}{F} (complement of F)?

( \stackrel{¯}{X} + \stackrel{¯}{Y} + \stackrel{¯}{Z})(X + \stackrel{¯}{Y})(Y + \stackrel{¯}{Z})

\stackrel{¯}{XY} + \stackrel{¯}{Z}

\stackrel{¯}{XY} + \stackrel{¯}{YZ} + X_{{¯} \stackrel{¯}{Y}Z\limits}^{{¯}}

(X + Z_{{¯}).(Y\limits}^{{¯}} + \stackrel{¯}{Z})

GATE Computer Science (CS) 2021 Shift 1 Solved Paper

Question : 52 of 65

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Consider the following Boolean expression.

F = (X + Y + Z)( \;{X}↖{¯} + Y)( \;{Y}↖{¯} + Z)

Which of the following Boolean expressions is/are equivalent to

\;{F}↖{¯}

(complement of F)?

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