Tutorial 7 sol - EE 2000 Logic Circuit Design, Semester A,...

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EE 2000 Logic Circuit Design, Semester A, 2007/08 Tutorial 7 The questions are divided into two levels. Level 1 is the basic level question. You should be able to answer them after completing the lecture. Level 2 is the advanced level question. You may have to take a research before answering them. Please be prepared before the tutorial. Level 1 Question 1: (Check point of the lecture) Given a function f ( a, b, c, d ) = Σ m (0, 1, 2, 4, 5, 7, 9, 10, 11, 13, 14, 15) to you, (a) Implement the above function using a 4-to-16-line decoder and an OR gate (b) The above function has a long list of minterms, it requires an OR gate with a large number of inputs. If we still want to use decoder, instead of logically summing up the long list of minterms, can you suggest a better way to implement the function?
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Ans: (a) (b) f ( a, b, c, d ) = Σ m (0, 1, 2, 4, 5, 7, 9, 10, 11, 13, 14, 15) f’ ( a, b, c, d ) = Σ m (3, 6, 8, 12) f(a, b, c, d) DEC 2 0 4 6 8 10 12 14 b a d c 1 3 5 7 9 13 15 f(a, b, c, d) DEC 2 0 4 6 8 10 12 14 b c 1 3 5 7 9 13 15
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Question 2: (Check point of the lecture) Implement the function f ( a, b, c, d ) =
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Tutorial 7 sol - EE 2000 Logic Circuit Design, Semester A,...

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