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the boolean expression ab ab ac a c ad ad is indep
Question:
The Boolean expression $ AB + AB' + AC + A'C' + AD + AD' $ is independent of which of the following variables?
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In Boolean algebra, simplifications can reveal variables that are independent.
AP PGECET - 2024
AP PGECET
Updated On:
May 3, 2025
A
B
C
D
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The Correct Option is
B
Solution and Explanation
The Boolean expression given is independent of \( B \), because \( AB + AB' \) simplifies to \( A \), which doesn't involve \( B \). All the other variables appear in some terms.
Thus, the expression is independent of \( B \).
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