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Switching Circuits and Logic Design Midterm Examination 15:30 ~ 17:20, November 9, 2007 1. [9 points] Convert (95B.A) 13 to base 11. Do all of the arithmetic in decimal with accuracy to 2 decimal places (just ignore the 3rd decimal place). If the converted number has circulating decimal, please represent your answer with at least one period of circulating decimal. 2. [10 points] Write down the output function F of the circuit in Figure Q2, and then simplfy it to the simplest sum of products. C B C A D A F B Figure Q2 3. Please design a prime number detection circuit. The four inputs to the circuit ( A , B , C , D ) represent a decimal number in Gray code. (see Table Q3; 0001 represent number 1). The output Z is zero if the decimal number represented by the inputs is a prime number. In other words, output is zero when input = {2, 3, 5, 7}. The output is one for the non-prime numbers. Assume that the input is always a valid Gray code so we do not have to worry about the invalid inputs.

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## This note was uploaded on 02/21/2012 for the course EE 101 taught by Professor 張捷力 during the Spring '07 term at National Taiwan University.

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