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Karnaugh Maps

Karnaugh Maps. ELEC 311 Digital Logic and Circuits Dr. Ron Hayne Images Courtesy of Cengage Learning. Terminology. Minterm Implicant Cover Prime Implicant Essential Prime Implicant Secondary Prime Implicant Minimal Sum. Methodology. Minimal Sum Essential Prime Implicants

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Karnaugh Maps

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  1. Karnaugh Maps ELEC 311 Digital Logic and Circuits Dr. Ron Hayne Images Courtesy of Cengage Learning

  2. Terminology • Minterm • Implicant • Cover • Prime Implicant • Essential Prime Implicant • Secondary Prime Implicant • Minimal Sum 311_05

  3. Methodology • Minimal Sum • Essential Prime Implicants • Secondary Prime Implicants • Minimal Cover 311_05

  4. Karnaugh Map 1 1 1 1 F(A,B,C) = Σm(2,3,4,6) F 311_05

  5. 1 1 1 1 1 1 1 1 Example F = (YZ) +(XY) +(WX′Z) + (WXZ′) F(W,X,Y,Z)= Σm(3,6,7,9,11,12,14,15) 311_05

  6. 1 1 X 1 1 X 1 1 1 X X 1 X X Don't Cares B = x2′ +(x3′x4′) +(x3x4) B(x1,x2,x3,x4) = Σm(0,1,2,3,4,7,8,9) + Σd(10-15) 311_05

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