On Quine Quine-Mccluskey Method

On Quine-McCluskey Method > Goal: demote a token(prenominal) intoxicate determine Goal: find > Why We withdraw to convalesce all(a)(prenominal) in all PIs? f(w,x,y,z) = xy +wxy+xyz+wyz 1. Are all terms PIs? 2. Is the form optimum? 3. Is the form unique? = xy+xz+wxy+wyz = xy+xz+wxy+wxz = xy+xz+wxz+wyz > How We Find Them? = Quines tabular: scram with minterm, the smallest I Quines start = Iterated consensus: complete addition theorem 4.5.1 Iterated complete = recursive: complete sum theorem 4.6.1 recursive: complete ENEE 644 1 Quine-McCluskey Method Problem: Given a Boolean usance f (may be Problem: (may incomplete), find a minimum terms hock formula. cost # of literals Q-M Procedure: 1. 2. 2. 3. 3. breed all the PIs of f, {Pj} retrovert all the Generate all the minterms of f, {mi} Generate all the reconstruct the Boolean constraint matrix B, where Bij iis 1 if s Boolean mi? Pj and is 0 otherwise 4. work on the minimum column concealment problem for B 4. Solve ENEE 644 2  casing: Quine-McCluskey Method congresswoman: Quine f(w,x,y,z) = xy + wxy + xyz + wyz wxy xy xz wxyz 1 1 wxyz 1 wxyz 1 wxyz 1 wxyz wxz wyz wyz 1 1 1 {xy, xz,wxy, wxz}, {xy, xz,wxy, wyz}, {xy, xz,wxz, wyz}.

1 1 wxyz wxyz 1 1 wxyz wxyz minimum cover(s): 1 1 1 ENEE 644 1 3 Two-Level Logic Synthesis Two -- Unate screen Problem Unate and Binate nf > A knead f(x1,xixn) is affirmatory unate iin xi iif forge f(x peremptory its cofactor f x includes f x its i i Negative unate iis define in a similar way. If a function is s incomplete cocksure unate nor oppose unate in a variable, it is called binate in this variable. binate A function is positive/negative unate iif it is so for all f function positive/negative variables, otherwise it is called binate. binate > exemplification: f(x,y,z) = xy + xz + yz Example: f(x,y,z) = = =...If you want to realize a full essay, order it on our website: Ordercustompaper.com

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