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SOP Canonical Forms

# SOP Canonical Forms - Mallard ECE 290 Computer Engineering...

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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 2/3/2007 1:57 AM Graded WebQuiz: SOP Canonical Forms You have submitted this WebQuiz 1 time (including this time). You may submit this WebQuiz a total of 10 times and receive full credit. Notation for OR(mi) and AND(Mi) forms: The sum of minterms 1, 3, and 7 is expressed as OR(m1,m3,m7); the minterms are enclosed in parentheses and separated by commas and/or spaces. Similarly, the product of maxterms 2, 5, and 6 is written AND(M2,M5,M6). Warning: Your answer will be marked wrong if the same mi or Mi term is entered more than once. Example: OR(m3,m1,m3) is wrong because m3 appears twice. Question #1 Express each of the following in canonical SOP form, giving the algebraic form first and then the OR(mi) form second. (a) f 1 (w,x,y,z) = w'x'y'z' f 1 (w,x,y,z) = w'x'y'z' Enter a canonical SOP Boolean expression f 1 (w,x,y,z) = OR(m0) (b) f 2 (w,x,y,z) = wyz' f 2 (w,x,y,z) = wxyz' + wx'yz' Enter a canonical SOP Boolean expression f

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SOP Canonical Forms - Mallard ECE 290 Computer Engineering...

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