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Assignment Instructions Reminder: All work turned in for this class must follow the guidelines in the class syllabus. In general, handwritten work is not acceptable
Assignment Instructions Reminder: All work turned in for this class must follow the guidelines in the class syllabus. In general, handwritten work is not acceptable for this course. However, you may hand-write this assignment provided you write neatly and legibly Remember that handwritten work must be scanned and pasted into your Word-format document at the appropriate place Do not turn in graphic of PDF documents. Do not copy the homework text into your answers; I already know what the questions are, and putting superfluous filler into your answers just makes more work for me For any assignments that require research you must answer in your own words and cite your references correctly. Part 1: Form the two's complement of the following binary numbers. Show your work or describe the method you used: Part 2: Convert the following four twos complement binary numbers to decimal and show your work: Part 3: Compute 10000111 as a twos complement number using four bits of precision. Show your work. What is the value of the result in decimal? How do you know? Part 4: Convert 245 and 24 to binary. Using the subtraction rule, compute 24 245 in binary. Show your work for all parts of the problem. (Hint: you will need to work with more than eight bits; use nine bit numbers and fixed precision.) Part 5: A hypothetical 12-bit computer represents floating point numbers with one sign bit, six bits of exponent in twos complement format, and five bits of significand (fraction.) That is, S EEEEEE FFFFF. The exponent represents a power of two. The fractional part is normalized and there is a no "hidden" bit; all fractional bits are explicitly stored First, convert the exponent and significand of the following number, separately, to decimal; show your work. (Hint: don't forget that the significand has an implied binary point.) 0 000010 10000 Now, compute the decimal value of this number using the exponent and significand from the previous part; show your work. Note: This is an invented format, designed to make problems such as this one easy to work. Real computers use one of the IEEE 754 formats Part 6: Analyze the circuit below. Determine the output value, Z, and each of the intermediate values W, X, and Y. (Hint: Fill in the W column, then X and Y, then finally Z.)
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