Fundamentals of Boolean Algebra (5)

• Theorem 7

(a) ab + ab'c = ab + ac (b) (a + b)(a + b' + c) = (a + b)(a + c)

• Examples:

  • wy' + wx'y + wxyz + wxz' = wy' + wx'y + wxy + wxz' [T7(a)]
    = wy' + wy + wxz' [T7(a)]
    = w + wxz' [T7(a)]
    = w [T7(a)]
  • (x'y' + z)(w + x'y' + z') = (x'y' + z)(w + x'y') [T7(b)]

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