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POS Canonical Forms

# POS 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 4:08 PM Graded WebQuiz: POS Canonical Forms You have submitted this WebQuiz 2 times (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 spaces and/or commas. 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 POS form, giving the algebraic form first and then the AND(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 POS Boolean expression f 1 (w,x,y,z) = AND(M10) (b) f 2 (w,x,y,z) = (w+y+z') f 2 (w,x,y,z) = (w+x+y+z')(w+x'+y+z') Enter a canonical POS Boolean expression f 2 (w,x,y,z) = AND(M1, M5) (c)

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