EE2301HW1F09Sol

# EE2301HW1F09Sol - 1 Department of Electrical and Computer...

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Unformatted text preview: 1 Department of Electrical and Computer Engineering University of Minnesota EE2301 Fall 2009 Introduction to Digital System Design L. L. Kinney Problem Set I Due Tues. Sept. 22, 2009 prior to the beginning or immediately after class. Please put your EE 0301 Discussion Section number (1, 2, 3, 4 or 5) ( not your EE 2301 Laboratory Section number) on your homework. 1. A 16-bit register in a computer contains 0011 1000 0101 0111. What does its contents represent if it contains (a) a 4-digit decimal number in the BCD code, (b) a 4-digit decimal number in excess-3 code, (c) a 4-digit decimal number in the 6311 code, (d) a 4-digit hexadecimal number (excess your answer as a decimal number), (e) a 16-bit binary number (excess your answer as a decimal number), (f) two characters in an odd parity ASCII code (the parity bit is on the left)? See Table 1-2 in the text for a definition of the excess-3 and 6311 codes and Table 1- 3 for the ASCII code. (a) 3857 (b) 0524 (c) 2645 (d) 3(16) 3 + 8(16) 2 + 5(16) 1 + 7(16) = 12,288 + 2048 + 80 + 7 =14,423 (e) 14,423 (f) 8W 2. Convert the following binary numbers to decimal: (a) 11011 (b) 1011.011 (c) 1.1011 (a) (11011) 2 = 1*2 4 + 1*2 3 + 0*2 2 + 1*2 1 + 1*2 = 16 + 8 + 2 + 1 = (27) 10 (b) (1011.011) 2 = 1*2 3 + 0*2 2 + 1*2 1 + 1*2 + 0*2-1 + 1*2-2 + 1*2-3 = 8 + 2 +1 + 0.25 + 0.125 = (11.375) 10 (c) (1.1011) 2 = 1*2 + 1*2-1 + 0*2-2 + 1*2-3 + 1*2-4 = 1 + 0.5 + 0.125 + 0.0625 = (1.6875) 10 3. Convert the following numbers from the given base to the base indicated: (a) Binary 101101.11011 to decimal, octal and hexadecimal....
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EE2301HW1F09Sol - 1 Department of Electrical and Computer...

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