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b. F(A,B,C,D) = D (A’ + C’) 6. a. Since the universal gates {AND, OR, NOT can be constructed from the NAND gate, it is universal.

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Basic Algebra Rules 1. Fractions. Let a,b,c, and d be numbers. (a) You can break up a fraction from a sum in the numerator, but not in the denom-inator: a+b c = a c + b c but a b+c 6= a b + a c (b) Cancellation of the c here requires that it appears in each additive term of …

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Basics of Probability August 27 and September 1, 2009 1 Introduction A phenomena is called random if the exact outcome is uncertain. The mathematical study of randomness ... (B) counts the outcomes in A\Btwice, so remove P(A\B).) Exercise 1. Show that the inclusion-exclusion rule follows from the axioms.

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