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hw7 - Fnd all prime implicants and then(2 use these prime...

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Electrical and Computer Engineering Department University of Maryland College Park, MD 20742-3285 Glenn L. Martin Institute of Technology A. James Clark School of Engineering Dr. Charles B. Silio, Jr. Telephone 301-405-3668 FAX 301-314-9281 [email protected] ENEE 244 Problem Set 7 (Due: Class 17, Mon., Mar. 28, 2011) 1. Design a 2-bit (binary) full adder module with 5 inputs a 1 , a 0 , b 1 , b 0 , and c in and with 3 outputs c out , s 1 , and s 0 . The module performs a binary addition of the 2-bit input A = a 1 a 0 with the 2-bit number B = b 1 b 0 and with the carry-in c in to form the 2-bit sum S = s 1 s 0 and the carry-out c out . Specify the truth table and specify the simplified output functions. (Note: this is a 5-variable Karnaugh map problem; so don’t try to solve it by hooking together two 1-bit full adders.) Tabular minimization, known also as the Quine-McCluskey method, proceeds in two steps: (1)
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Unformatted text preview: Fnd all prime implicants and then (2) use these prime implicants to Fnd a minimal cost cover for the given function. Use tabular minimization to Fnd simplest sum of products expressions for the following functions. 2. f ( a, b, c, d ) = Σ0 , 1 , 2 , 5 , 9 , 13 , 14 , 15 + Σ φ 8 , 10 , 12 3. h ( a, b, c, d, e, f, g ) = Σ20 , 28 , 52 , 60 4. h ( a, b, c, d, e, f, g ) = Σ20 , 28 , 38 , 39 , 52 , 60 , 102 , 103 , 127 5. Read Givone Chapt. 4, Section 4.13, excluding Section 4.13.4 covering Quine-McCluskey and tabular minimization for multiple-output functions; then work Prob. 4.33 a. Now work the following problems from Givone, Chapt. 5: 6. Prob. 5.19. 7. Prob. 5.23. 8. Prob. 5.24. 9. Prob. 5.25. 10. Prob. 5.26....
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