Question: Computer Organization and Embedded Systems (6th Edition) Chapter 9, Arithmetic problem 16P [M] Tree depth for carry-save reduction is analyzed in this problem. ( a

Computer Organization and Embedded Systems (6th Edition)

Chapter 9, Arithmetic problem 16P

[M]Tree depth for carry-save reduction is analyzed in this problem. (a) How many 3-2 reduction levels are needed to reduce 16 summands to 2 using a pattern similar to that shown in Figure 9.19? (b) Repeat part (a) for reducing 32 summands to 2 to show that the claim of 8 levels in Section 9.5.3 is correct. (c) Compare the exact answers in parts (a) and (b) to the results obtained by using the approximation developed in Example 9.3 in Section 9.10.

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