hw06_SLN - ECE 211 HW 6 Solutions p 1 of 6...

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ECE 211 HW 6 Solutions p 1 of 6 //home/vdimitrov/24847/f53800f76a06787b605de11b26fc9aa64e026bed.doc HW Set 6 – SOLUTIONS 1. Write a logic expression for: a. m13 (A,B,C,D,E) b. M6 (A,B,C,D,E) Solution: (a) 13 = 0 1 1 0 1 m13 = A' · B · C · D ' · E (b) 6 = 0 0 1 1 0 M6 = (A + B + C ' + D ' + E)
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ECE 211 HW 6 Solutions p 2 of 6 2. Using only TTL gates, realize the function F. F(A,B,C,D) = Σ m( 0, 1, 7, 9, 11, 13) with A, C active-Low, B, D, F active-High. Express F as a sum of minterms. Neatly draw your circuit. List the chips you use, and their quantity. Solution: F = A'B'C'D' + A'B'C'D + A'BCD + AB'C'D + AB'CD + ABC'D
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ECE 211 HW 6 Solutions p 3 of 6 3. For the function F in Problem 2: If you realize F based on a product of maxterms, determine the minimum number of logic gates you will need. Do NOT draw a circuit diagram Solution: With four variables, there are 2 4 = 16 minterms and 16 maxterms. F is a sum of 6 minterms; therefore F is the product of 16 – 6 = 10 maxterms. The circuit realization requires
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hw06_SLN - ECE 211 HW 6 Solutions p 1 of 6...

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