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Final_Examination_1

# Final_Examination_1 - Name EEGR 211.001 Spring 2004 Dr...

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Name _____________________________ EEGR 211.001 Spring 2004 Dr. Ladeji-Osias Final Examination Answer all questions. Show all work to receive partial credit. This is a 110-minute examination. No notes or calculators allowed during the examination. Note: Your nine best answers will be used to compute your final grade. 1. Perform the following conversions a. 23.5 6 = ? 10 b. 247.5 8 = ? 16 c. 56.9 10 = ? 7 (to two decimal places)

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Name ____________________________ 2. Using the rules of two’s complement arithmetic, perform the following operations. Assume all numbers are already in two’s complement representation. Be sure to verify the validity of your answer. a. What are the rules of two’s complement arithmetic? b. 011100 2 – 100111 2 c. 011101 2 – 0101 2 d. 1011 2 – 0011100 2 2
Name ____________________________ 3. Simplify the following arithmetic functions to the minimum number of literals as indicated. a. F(A,B,C,D) = Σ(0,1,3,5,7,9,10) + d(14, 15) using Karnaugh maps b. (x’y’ + z)’ + z + xy + wz using Boolean Algebra c. ABC + A’B + ABC’ using Quine McCluskey 3

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Name ____________________________ 4. Design a 4-bit combinational circuit 2’s complementer. (The output generates the 2’s complement of the input binary number). Include exclusive-OR gates in your design to minimize the number of logic gates in the circuit.
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Final_Examination_1 - Name EEGR 211.001 Spring 2004 Dr...

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