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# HW1 - EE 2301 S 2010 INTRODUCTION TO DIGITAL SYSTEMS DESIGN...

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EE 2301 S 2010 INTRODUCTION TO DIGITAL SYSTEMS DESIGN HOMEWORK #1 (15 pts) Due Feb 2, 2010 Note: homework should be turned in during the lecture class on due date. No late homework will be accepted. Only selected problems will be graded. 1. Convert the following decimal numbers to octal, to base-5, and to binary. Limit your precision to two digits for the fractional part: (a) 757.25 (b) 356.89 2. Problem 1.13 3. Devise a scheme for converting base-9 numbers directly to base-3. Use your method to convert the following base-9 number 418.377 to base-3. 4. Add the following (decimal) numbers in binary using 2’s complement to represent negative numbers. Use a word length of 6 bits (including sign) and indicate if an overflow occurs. Then repeat your addition usi ng 1’s complement representation. (a) 19 + 13 (b) (-20) + 13 (c) (-22) + 23 (d) (-11) + (-21) 5. A computer has a word length of 6 bits. If 2’s complement is used to represent negative numbers, what range of integers can be stored in this computer ? (express your answer in decimal).

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HW1 - EE 2301 S 2010 INTRODUCTION TO DIGITAL SYSTEMS DESIGN...

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