1. **State the problem:** Simplify the Boolean function $$F = A'B'C + A'BC + AB'$$. 2. **Recall Boolean algebra rules:** - Complement: $$A'$$ is NOT A. - OR operation is addition (+). - AND operation is multiplication (no symbol). - Consensus theorem and combining terms help simplify. 3. **Group terms:** $$F = A'B'C + A'BC + AB'$$ 4. **Factor common terms in first two terms:** $$A'B'C + A'BC = A'C(B' + B)$$ Since $$B' + B = 1$$ (Complementarity), $$= A'C \cdot 1 = A'C$$ 5. **Rewrite function:** $$F = A'C + AB'$$ 6. **Check if further simplification is possible:** No common factors between $$A'C$$ and $$AB'$$, so this is the simplest form. **Final simplified Boolean function:** $$F = A'C + AB'$$