Fundamentals of Boolean Algebra (4)

• Theorem 6

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

• Examples:

  • ABC + AB'C = AC [T6(a)]
  • (W' + X' + Y' + Z')(W' + X' + Y' + Z)(W' + X' + Y + Z')(W' + X' + Y + Z)
    = (W' + X' + Y')(W' + X' + Y + Z')(W' + X' + Y + Z) [T6(b)]
    = (W' + X' + Y')(W' + X' + Y) [T6(b)]
    = (W' + X') [T6(b)]

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