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# tutorial5 - ERG2020A Tutorial 5 Advanced K-map...

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ERG2020A Tutorial 5 Advanced K-map Quine-McCluskey Method Quiz 1 Review Slides borrowed from ERG2020B

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K-Map with Don’t Cares F = ∑ m (0,2,3,4,14,15) D = ∑ m (1,11,13) Don’t cares can be treated as 1’s or 0’s if it is advantageous to do so We will use blue circle ( A B ’) instead of red one ( A B C ) because it contain less literals in the term 1 1 d d 1 1 1 d 1 00 01 00 01 11 10 AB CD 0 1 3 2 4 5 7 6 12 13 15 14 8 9 11 10 11 10
Another Example F ( A , B , C , D ) = ∑ m (1,3,5,7,9) + ∑ d (6,12,13) 1 1 d d 1 1 1 d 00 01 00 01 11 10 AB CD 0 1 3 2 4 5 7 6 12 13 15 14 8 9 11 10 11 10

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5 Variables K-Map Standard maps handle 4 vars 2 adjacent maps for 5 variables Analogy: Two 4-vars Map on 2 layers Adjacent grids (e.g. across layers) can be merged a b c d e a b c d e_ abcde abcde_ abcd
5 Variables K-Map e.g. Find a min. SOP expression for F Step 1: Fill in F abce e d c b e d c e ac bc a d c a e d c b a F + + + + + = ) , , , , ( a b c d e a b c d e_ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1

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5 Variables K-Map Step 2: Fill in 0 in empty grid for (F’)’ = F a b c d e a b c d e_ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
5 Variables K-Map Step 3: K-Map simplification on 0 grids Done a b c d e a b c d e_ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1

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