ece546fall11_20

ece546fall11_20 - ECE ECE 546 - VLSI Systems Design Lecture...

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ECE 546 ECE 546 - VLSI Systems Design VLSI Systems Design ecture ecture 0: Fast Adders 0: Lecture Lecture 20: Fast Adders, 20: Multipliers Fall Fall 2010 2010 W. Rhett Davis NC State University ith significant material from ith significant material from abaey abaey handrakasan handrakasan and and ikoli ć Slide 1 W. Rhett Davis NC State University ECE 546 Fall 2010 with significant material from with significant material from Rabaey Rabaey, , Chandrakasan Chandrakasan, and , and Nikoli Nikoli
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Announcements Project Milestone #1 Due Today HW#8 Due Today Project Milestone #2 Due in 12 days Project Advising + Possible Lecture Tuesday » Meet in regularly assigned classroom Project Comments » You may pipeline the arbiter & crossbar more deeply, if desired Slide 2 W. Rhett Davis NC State University ECE 546 Fall 2010 » You may combine the crossbar & arbiter, if desired
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Summary of Last Lecture How do the Ripple-carry and Carry-Bypass adders’ elay and area vary with the number of bits? delay and area vary with the number of bits? What is the most crucial aspect to optimize in order to speed-up the adder? What is the inversion property of the full adder and how can it be exploited for a faster carry chain? What is the critical-path delay of a carry-bypass adder in terms on N, M, t setup , t carry , t bypass , and t sum ? Slide 3 W. Rhett Davis NC State University ECE 546 Fall 2010
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Today’s Lecture ast Adders (11 3) Fast Adders (11.3) » Carry Lookahead Adder arry Save Adder (Compressor) » Carry Save Adder (Compressor) Multipliers (11.4) » Array Multiplier » Carry Save Multiplier Slide 4 W. Rhett Davis NC State University ECE 546 Fall 2010
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LookAhead - Basic Idea A N- 1 , B N- 1 A 1 , B 1 ••• A 0 , B 0 P 1 P N- 1 C i , N- 1 P 0 C i ,0 C i ,1 C ok fA k B k C 1   G k P k C ok 1 + == S 1 S N- 1 S 0 Slide 5 W. Rhett Davis NC State University ECE 546 Fall 2010
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Carry Lookahead Trees C o0 G 0 P 0 C i0 + = C o1 G 1 P 1 G 0 P 1 P 0
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This note was uploaded on 01/26/2012 for the course EE 546 taught by Professor Whett during the Spring '11 term at N.C. State.

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ece546fall11_20 - ECE ECE 546 - VLSI Systems Design Lecture...

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