Computer Organization and Design: The Hardware/Software Interface

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1 University of California, Berkeley College of Engineering Computer Science Division EECS Fall 2001 John Kubiatowicz Homework Quiz (HW #3) October 3 rd 2001 CS152 Computer Architecture and Engineering This quiz covers one of the problems from homework #3. Good Luck! Your Name: SID Number: Discussion Section: Total:
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2 Combinational Multipliers built with Carry Save Adders In your homework, you learned about using Carry Save Adders to perform multiplication. Below we review using carry save adders to add four 3-bit numbers to produce a single 5-bit number: Figure 1: Adding four 3-bit numbers with carry-save adders. Carry Save Adder 3=>2 I 1 I 2 S 0 S 1 I 3 Carry Save Adder 3=>2 I 1 I 2 S 0 S 1 I 3 Carry Save Adder 3=>2 I 1 I 2 S 0 S 1 I 3 0 C 2 Carry Save Adder 3=>2
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Unformatted text preview: I 1 I 2 S S 1 I 3 Carry Save Adder 3=>2 I 1 I 2 S S 1 I 3 Carry Save Adder 3=>2 I 1 I 2 S S 1 I 3 S S 1 S 2 S 3 S 4 Carry Save Adder 3=>2 I 1 I 2 S S 1 I 3 Carry Save Adder 3=>2 I 1 I 2 S S 1 I 3 Carry Save Adder 3=>2 I 1 I 2 S S 1 I 3 B 2 A 2 C 1 B 1 A 1 C B A D D 1 D 2 3 1. Draw a complete 4 x 4 multiplier that takes two four-bit numbers (call the input bits A3 … A0 and B3 … B0), and which outputs an 8-bit result (M7 … M0). Use a carry-save architecture for this, use as little hardware as possible, and assume that the numbers are unsigned : 2. Is there any way to use an architecture like this for signed numbers? Give short explanation....
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This homework help was uploaded on 01/29/2008 for the course CS 152 taught by Professor Kubiatowicz during the Fall '04 term at University of California, Berkeley.

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Fa01 homequiz 3 - I 1 I 2 S S 1 I 3 Carry Save Adder 3=>2 I 1 I 2 S S 1 I 3 Carry Save Adder 3=>2 I 1 I 2 S S 1 I 3 S S 1 S 2 S 3 S 4 Carry

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