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Duality and the Principle of Duality - Mallard ECE 290...

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Mallard ECE 290: Computer Engineering I - Spring 2007 - Graded Web... https://mallard.cites.uiuc.edu/ECE290/webgrade.cgi?SessionID=mding3... 1 of 2 1/26/2007 12:22 AM Graded WebQuiz: Duality and the Principle of Duality You have submitted this WebQuiz 2 times (including this time). You may submit this WebQuiz a total of 10 times and receive full credit. WARNING: When you write a dual expression, it must be exact. Do not use commutativity. Use parentheses only if required. (E.g., the dual of (x + y)z is xy + z. Both (xy)+z and yx + z will be marked as wrong.) Question #1 The dual of [(A + B') C] (B' + CD') is equal to: (AB' + C) + B'(C + D') (A'(B + C') + B)(C' + D) A(B' + C) + B'(C + D') (A(B' + C) + B')(C + D') none of the above You received a raw score of 100% on this question. Question #2 Give the (exact) dual of x' (y + 1) : x'+y0 Knowing that x' (y + 1) = x' , the principle of duality tells us that x'+y0=x' You received a raw score of 100% on this question. Question #3 Give the exact dual of the following identity: (x + x'yz)z + 1 = 1 [x(x' + y + z) + z]0 = 0 (x(y+z)+z)0 = 0 0=0 [x(x' + y + z) + z]0 (x + yz)z + 1 = 1 all of the above none of the above
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