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exam1-spring05-soln

# exam1-spring05-soln - ECE 206-001 NC State University Exam...

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ECE 206-001 Name:____________________________________________ NC State University Exam 1(A): 10 February 2005 1 1. (16 points) Fill in the missing representations for the following numbers. You must show your work to get full credit. decimal 9-bit two’s complement 9-bit sign-magnitude (a) 207 011001111 011001111 (b) 150 010010110 010010110 (c) -105 110010111 101101001 (d) -88 110101000 101011000 n 2 n -3 .125 -2 .250 -1 .500 0 1 1 2 2 4 3 8 4 16 5 32 6 64 7 128

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ECE 206-001 Name:____________________________________________ NC State University Exam 1(A): 10 February 2005 2 2. (8 points) Using DeMorgan's Law, show an alternative way to implement each of the following logic circuits. (a) (b) 3. (15 pts) What decimal value does “ 11010100 ” represent when interpreted as: (c) An unsigned integer? 212 (d) A two's complement integer? -44 (e) An unsigned fixed-point number, with three fractional bits and five integer bits? 26.5 A B C C A B A B C A B C n 2 n -3 .125 -2 .250 -1 .500 0 1 1 2 2 4 3 8 4 16 5 32 6 64 7 128
ECE 206-001 Name:____________________________________________ NC State University Exam 1(A): 10 February 2005 3 4. (12 points) Complete the truth table for this CMOS gate . 5. (14 pts) Draw a logic circuit (using AND, OR, NOT) that implements the following truth table.

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exam1-spring05-soln - ECE 206-001 NC State University Exam...

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