The given Boolean expression is: X'Y'Z' + X'YZ' Which of the following…
2025
The given Boolean expression is: X'Y'Z' + X'YZ'
Which of the following represents the Karnaugh map for the above expression?
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The given Boolean expression is $X'Y'Z' + X'YZ'$.
Both terms in the expression end with $Z'$, which indicates that Z=0 for both minterms. Therefore, we look for '1's in the column labeled $Z'$.
The first term $X'Y'Z'$ corresponds to the row where X=0 and Y=0 ($X'Y'$). The second term $X'YZ'$ corresponds to the row where X=0 and Y=1 ($X'Y$).
The correct Karnaugh map must have '1's in the $Z'$ column for both the $X'Y'$ and $X'Y$ rows. The fourth image correctly displays this configuration.