8-qm - 9/7/09 1 1 ECE2030 Introduction to Computer...

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Unformatted text preview: 9/7/09 1 1 ECE2030 Introduction to Computer Engineering Lecture 7: Quine-McCluskey Method 2 Quine-McCluskey Method 3 Q-M Method (Step 1) • Transform the given Boolean function into a canonical SOP function • Convert each Minterm into binary format • Arrange each binary minterm in groups • All the minterms in one group contain the same number of “1” • Group by increasing ‘1’ bits 4 Q-M Method: Grouping minterms (29) 1 1 1 0 1 (30) 1 1 1 1 0 (2) 0 0 0 1 0 (4) 0 0 1 0 0 (8) 0 1 0 0 0 (16) 1 0 0 0 0 A B C D E (0) 0 0 0 0 0 (6) 0 0 1 1 0 (10) 0 1 0 1 0 (12) 0 1 1 0 0 (18) 1 0 0 1 0 (7) 0 0 1 1 1 (11) 0 1 0 1 1 (13) 0 1 1 0 1 (14) 0 1 1 1 0 (19) 1 0 0 1 1 9/7/09 2 5 Q-M Method (Step 2) 6 Q-M Method: Grouping minterms (29) 1 1 1 0 1 (30) 1 1 1 1 0 (2) 0 0 0 1 0 (4) 0 0 1 0 0 (8) 0 1 0 0 0 (16) 1 0 0 0 0 A B C D E (0) 0 0 0 0 0 (6) 0 0 1 1 0 (10) 0 1 0 1 0 (12) 0 1 1 0 0 (18) 1 0 0 1 0 (7) 0 0 1 1 1 (11) 0 1 0 1 1 (13) 0 1 1 0 1 (14) 0 1 1 1 0 (19) 1 0 0 1 1 A B C D E √ √ (0,2) 0 0 0 – 0 √ (0,4) 0 0 - 0 0 √ (0,8) 0 - 0 0 0 √ (0,16) - 0 0 0 0 √ (2,6) 0 0 - 1 0 √ (2,10) 0 - 0 1 0 √ (2,18) - 0 0 1 0 √ (4,6) 0 0 1 - 0 (4,12) 0 - 1 0 0 (8,10) 0 1 0 - 0 (8,12) 0 1 - 0 0 (16,18) 1 0 0 - 0 (6,7) 0 0 1 1 - √ (6,14) 0 - 1 1 0 √ (10,11) 0 1 0 1 - √ (10,14) 0 1 - 1 0 (12,13) 0 1 1 0 - √ (12,14) 0 1 1 - 0 (18,19) 1 0 0 1 - √ A B C D E (13,29) - 1 1 0 1...
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This note was uploaded on 10/20/2009 for the course COE 1 taught by Professor Many during the Spring '09 term at Georgia Tech.

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8-qm - 9/7/09 1 1 ECE2030 Introduction to Computer...

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