Algebraic Forms of Switching Functions (7)

• Truth tables of f1(A,B,C) of Eq. (2.3) and f2(A,B,C) of Eq. (2.7) are identical.

• Hence, f1(A,B,C) = S m (2,3,6,7)

= f2(A,B,C)

= PM(0,1,4,5) (2.10)

• Example: Given f(A,B,C) = ( A+B+C')(A+B'+C')(A'+B+C')(A'+B'+C'), construct the truth table and express in both maxterm and minterm form.

  • f(A,B,C) = M1M3M5M7 = PM(1,3,5,7) = S m (0,2,4,6)

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