Aspire Faculty ID #13772 · Topic: JAMIA MILLIA ISLAMIA MCA 2022 · Just now
JAMIA MILLIA ISLAMIA MCA 2022

Simplify the Boolean expression (three variables): $ F=\;A'BC\;+\;A'B'C\;+\;ABC'\;+\;A'B'C'\;+\;ABC\;+\;AB'C' $

Solution

Group terms: - $ABC + ABC' = AB$ - $A'B'C' + AB'C' = B'C'$ - $A'BC + A'B'C = A'C$ Hence $ F = AB \;+\; B'C' \;+\; A'C. $ This is already minimal (no further absorption). $\boxed{F = AB + A'C + B'C'}$
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