Homework2 - BME303 Spring 2007 Homework 2 Due Last Name...

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BME303 Spring 2007 Homework 2 Due 2/13/2007 Last Name: Kanungo First Name: Anil . Instructions: 1. Each homework must be stapled [50 points are deducted otherwise]. 2. The first page of the homework must have a completed heading as above (it can be hand written). 3. Show your work, except in the most obvious cases where the calculations can be done mentally. 4. Your work must be neat and clear. Note: These instructions apply to all the assignments this semester. Problem 1 [4 + 2 = 6] a) You have a 4 bit computer, i.e. a computer that can only do 4 bit binary arithmetic and everything beyond the 4 th bit cannot be represented. Complete the following addition table where you add the binary number in the i th column with the j th row. The numbers are represented using 2’s complement format. An example is given to get you started. 0011 1110 0110 1010 0001 0100 1111 0111 1011 0011 0110 0001 1001 1101 0111 1010 0101 1101 0001 1111 0010 1101 0101 1001 b) Is there an overflow in some additions (circle if any) [shaded instead to indicate overflow] Problem 2 [2+2+2+2 = 8] In the following table, the 1 st column represents a bit pattern on an 8 bit computer (i.e. anything beyond 8 bits is not represented). Column A: Write the 1’s complement of the initial bit pattern.
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