**Subject: Lec 8** **Date: 31-7-2022** **Minterms (SoP) & Maxterms (PoS)** m₁ = x'y'z' m₂ = x'y'z m₃ = x'yz' m₄ = x'yz m₅ = xy'z' m₆ = xy'z m₇ = xyz' m₈ = xyz M₁ = x+y+z M₂ = x+y'+z' M₃ = x+y'+z M₄ = x+y+z' M₅ = x'+y+z' M₆ = x'+y+z M₇ = x'+y'+z M₈ = x'+y'+z' **Find F as minterms & Express F using sum of minterms.** F = ABC' + AB'C + ABC F = Σ(1, 4, 7) **Same Q but maxterms** F = (A+B+C')(A+B'+C)(A'+B+C)(A'+B'+C') F = Π(0, 2, 3, 5, 6) **Note:** M₀ = m₀' = x'y'z' ⇒ M₀ = x+y+z * **Find minterms:** F = AB' + BC' F = AB'(C+C') + BC'(A+A') = ABC' + AB'C + A'BC' + ABC' = Σ(2, 4, 5, 6) * **Find maxterms:** F = (A'+B)(B'+C) F = (A'+B+C')(A'+B+C)(A+B'+C)(A+B+C') = Π(0, 1, 4, 5, 6) * **Find expression:** F = Σ(0, 3, 7) F = A'B'C + ABC' + ABC * **Find expression:** F = Π(4, 6, 7) F = (A+B+C')(A'+B+C)(A'+B'+C) * **What is the maxterms of F = Σ(0, 3, 7)** F = Π(1, 2, 4, 5, 6)