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su09-jh-s2

# su09-jh-s2 - ECE 2030 Introduction to Computer Engineering...

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ECE 2030 -- Introduction to Computer Engineering EXAM #2 SOLUTION July 15, 2009 Page 1 of 3 Problem 1. (24 points) Value (decimal) 6-bit sign-magnitude binary representation 6-bit 2’s-complement binary representation 29 0 1 1 1 0 1 0 1 1 1 0 1 – 14 1 0 1 1 1 0 1 1 0 0 1 0 23 0 1 0 1 1 1 0 1 0 1 1 1 – 26 1 1 1 0 1 0 1 0 0 1 1 0 – 10 1 0 1 0 1 0 1 1 0 1 1 0 0 0 0 1 0 1 0 1 1 0 1 1 1 0 1 1 1 1 + 1 1 1 1 0 1 + 0 0 1 0 1 0 + 1 1 0 1 0 1 0 0 0 0 1 0 1 0 0 1 0 1 1 0 0 1 0 0 carry-out: 1 carry-out: 0 carry-out: 1 overflow: no overflow: yes overflow: no 1 0 1 1 0 0 0 1 0 0 1 0 – 1 1 0 1 1 1 – 1 1 0 1 0 1 1 1 0 1 0 1 0 1 1 1 0 1 overflow: no overflow: no Problem 2. (12 points) A. (4 points) Complete the state table for this register. B. (8 points) Complete the following timing diagram for this register. Assume that the initial value of the output is zero. load toggle load hold φ 1 φ 2 LD T IN OUT LD T OUT + 0 0 OUT 0 1 OUT 1 x IN

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ECE 2030 -- Introduction to Computer Engineering EXAM #2 SOLUTION July 15, 2009 Page 2 of 3 Problem 3. (20 points) A.
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