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Digital Design (4th Edition)

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Boolean Algebra Logic Gates Chapter 2
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p. 56 in Mano
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Unformatted text preview: • Take duals • Complement each literal Minterms & Maxterms Example s f 1 =? and f 2 =? Find minterms and maxterms s f1=x’y’z’+xy’z’+xyz=m1+m4+m7 s f2=x’yz+xy’z+xyz’=m3+m5+m6+m7 s Complement of f1 • f1’=x’y’z’+x’yz’+x’yz+xy’z+xyz’ s Take the complement of f1’ to obtain f1 in maxterms • f1=(x+y+z)(x+y’+z)(x+y’+z’)(x’+y+z’)(x’+y’+z) =M0.M2.M3.M5.M6 = Π (0,2,3,5,6) • f2=? İ n maxterms Standart forms s F1=? s F2=? Three- and two-level implementation s Difference? 3-input XOR Gate...
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