The simplified form of Boolean Expression: \( \overline{\mathrm{A}} \mathrm{BC}+\mathrm{ABC} \) is
The given Boolean expression is:
\[
\overline{A}BC + ABC
\]
Step 1: Factor Out Common Terms
Observe that both terms have \( BC \) in common:
\[
BC (\overline{A} + A)
\]
Step 2: Apply Boolean Identity
Using the complement property:
\[
\overline{A} + A = 1
\]
we simplify:
\[
BC \cdot 1 = BC
\]
Final Answer:
\(
BC
\)
Thus, the simplified form of the Boolean expression \(\overline{A}BC + ABC\) is \(BC\).
Reinforce your conceptual grasp with related questions from CUET-MCA 2022:
Take timed full-length mock tests with authentic question distributions, negative marking (+12/-3 in Math), and instant All India Rank calculation.
Start Free Mock Test Series →