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Bit-level Arithmetic Architecture In-Cheol Park Dept. of EE, KAIST
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Bit-level Arithmetic Architecture - KAISTics.kaist.ac.kr/ee877_2015s/A1_Bit-level_arithmetic.pdf · Bit-level Arithmetic Architecture In-Cheol Park ... Examples: X-=01 11 01 11 (O)

Aug 18, 2018

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Page 1: Bit-level Arithmetic Architecture - KAISTics.kaist.ac.kr/ee877_2015s/A1_Bit-level_arithmetic.pdf · Bit-level Arithmetic Architecture In-Cheol Park ... Examples: X-=01 11 01 11 (O)

Bit-level Arithmetic Architecture

In-Cheol Park Dept. of EE, KAIST

Page 2: Bit-level Arithmetic Architecture - KAISTics.kaist.ac.kr/ee877_2015s/A1_Bit-level_arithmetic.pdf · Bit-level Arithmetic Architecture In-Cheol Park ... Examples: X-=01 11 01 11 (O)

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Page 3: Bit-level Arithmetic Architecture - KAISTics.kaist.ac.kr/ee877_2015s/A1_Bit-level_arithmetic.pdf · Bit-level Arithmetic Architecture In-Cheol Park ... Examples: X-=01 11 01 11 (O)

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Page 4: Bit-level Arithmetic Architecture - KAISTics.kaist.ac.kr/ee877_2015s/A1_Bit-level_arithmetic.pdf · Bit-level Arithmetic Architecture In-Cheol Park ... Examples: X-=01 11 01 11 (O)

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Page 5: Bit-level Arithmetic Architecture - KAISTics.kaist.ac.kr/ee877_2015s/A1_Bit-level_arithmetic.pdf · Bit-level Arithmetic Architecture In-Cheol Park ... Examples: X-=01 11 01 11 (O)

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Page 6: Bit-level Arithmetic Architecture - KAISTics.kaist.ac.kr/ee877_2015s/A1_Bit-level_arithmetic.pdf · Bit-level Arithmetic Architecture In-Cheol Park ... Examples: X-=01 11 01 11 (O)

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Page 7: Bit-level Arithmetic Architecture - KAISTics.kaist.ac.kr/ee877_2015s/A1_Bit-level_arithmetic.pdf · Bit-level Arithmetic Architecture In-Cheol Park ... Examples: X-=01 11 01 11 (O)

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Page 8: Bit-level Arithmetic Architecture - KAISTics.kaist.ac.kr/ee877_2015s/A1_Bit-level_arithmetic.pdf · Bit-level Arithmetic Architecture In-Cheol Park ... Examples: X-=01 11 01 11 (O)

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Page 9: Bit-level Arithmetic Architecture - KAISTics.kaist.ac.kr/ee877_2015s/A1_Bit-level_arithmetic.pdf · Bit-level Arithmetic Architecture In-Cheol Park ... Examples: X-=01 11 01 11 (O)

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Page 10: Bit-level Arithmetic Architecture - KAISTics.kaist.ac.kr/ee877_2015s/A1_Bit-level_arithmetic.pdf · Bit-level Arithmetic Architecture In-Cheol Park ... Examples: X-=01 11 01 11 (O)

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Page 11: Bit-level Arithmetic Architecture - KAISTics.kaist.ac.kr/ee877_2015s/A1_Bit-level_arithmetic.pdf · Bit-level Arithmetic Architecture In-Cheol Park ... Examples: X-=01 11 01 11 (O)

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Page 12: Bit-level Arithmetic Architecture - KAISTics.kaist.ac.kr/ee877_2015s/A1_Bit-level_arithmetic.pdf · Bit-level Arithmetic Architecture In-Cheol Park ... Examples: X-=01 11 01 11 (O)

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Page 13: Bit-level Arithmetic Architecture - KAISTics.kaist.ac.kr/ee877_2015s/A1_Bit-level_arithmetic.pdf · Bit-level Arithmetic Architecture In-Cheol Park ... Examples: X-=01 11 01 11 (O)

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Page 14: Bit-level Arithmetic Architecture - KAISTics.kaist.ac.kr/ee877_2015s/A1_Bit-level_arithmetic.pdf · Bit-level Arithmetic Architecture In-Cheol Park ... Examples: X-=01 11 01 11 (O)

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Page 15: Bit-level Arithmetic Architecture - KAISTics.kaist.ac.kr/ee877_2015s/A1_Bit-level_arithmetic.pdf · Bit-level Arithmetic Architecture In-Cheol Park ... Examples: X-=01 11 01 11 (O)

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Page 16: Bit-level Arithmetic Architecture - KAISTics.kaist.ac.kr/ee877_2015s/A1_Bit-level_arithmetic.pdf · Bit-level Arithmetic Architecture In-Cheol Park ... Examples: X-=01 11 01 11 (O)

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Page 17: Bit-level Arithmetic Architecture - KAISTics.kaist.ac.kr/ee877_2015s/A1_Bit-level_arithmetic.pdf · Bit-level Arithmetic Architecture In-Cheol Park ... Examples: X-=01 11 01 11 (O)

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( ) ( ) ( 1) ( 2)y n x n f x n g x n

Page 18: Bit-level Arithmetic Architecture - KAISTics.kaist.ac.kr/ee877_2015s/A1_Bit-level_arithmetic.pdf · Bit-level Arithmetic Architecture In-Cheol Park ... Examples: X-=01 11 01 11 (O)

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Page 19: Bit-level Arithmetic Architecture - KAISTics.kaist.ac.kr/ee877_2015s/A1_Bit-level_arithmetic.pdf · Bit-level Arithmetic Architecture In-Cheol Park ... Examples: X-=01 11 01 11 (O)

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Page 20: Bit-level Arithmetic Architecture - KAISTics.kaist.ac.kr/ee877_2015s/A1_Bit-level_arithmetic.pdf · Bit-level Arithmetic Architecture In-Cheol Park ... Examples: X-=01 11 01 11 (O)

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Page 21: Bit-level Arithmetic Architecture - KAISTics.kaist.ac.kr/ee877_2015s/A1_Bit-level_arithmetic.pdf · Bit-level Arithmetic Architecture In-Cheol Park ... Examples: X-=01 11 01 11 (O)

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Lyon’s Bit-serial Multiplier

Page 22: Bit-level Arithmetic Architecture - KAISTics.kaist.ac.kr/ee877_2015s/A1_Bit-level_arithmetic.pdf · Bit-level Arithmetic Architecture In-Cheol Park ... Examples: X-=01 11 01 11 (O)

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Page 23: Bit-level Arithmetic Architecture - KAISTics.kaist.ac.kr/ee877_2015s/A1_Bit-level_arithmetic.pdf · Bit-level Arithmetic Architecture In-Cheol Park ... Examples: X-=01 11 01 11 (O)

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Page 24: Bit-level Arithmetic Architecture - KAISTics.kaist.ac.kr/ee877_2015s/A1_Bit-level_arithmetic.pdf · Bit-level Arithmetic Architecture In-Cheol Park ... Examples: X-=01 11 01 11 (O)

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Page 25: Bit-level Arithmetic Architecture - KAISTics.kaist.ac.kr/ee877_2015s/A1_Bit-level_arithmetic.pdf · Bit-level Arithmetic Architecture In-Cheol Park ... Examples: X-=01 11 01 11 (O)

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Page 26: Bit-level Arithmetic Architecture - KAISTics.kaist.ac.kr/ee877_2015s/A1_Bit-level_arithmetic.pdf · Bit-level Arithmetic Architecture In-Cheol Park ... Examples: X-=01 11 01 11 (O)

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Page 27: Bit-level Arithmetic Architecture - KAISTics.kaist.ac.kr/ee877_2015s/A1_Bit-level_arithmetic.pdf · Bit-level Arithmetic Architecture In-Cheol Park ... Examples: X-=01 11 01 11 (O)

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Page 28: Bit-level Arithmetic Architecture - KAISTics.kaist.ac.kr/ee877_2015s/A1_Bit-level_arithmetic.pdf · Bit-level Arithmetic Architecture In-Cheol Park ... Examples: X-=01 11 01 11 (O)

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Page 29: Bit-level Arithmetic Architecture - KAISTics.kaist.ac.kr/ee877_2015s/A1_Bit-level_arithmetic.pdf · Bit-level Arithmetic Architecture In-Cheol Park ... Examples: X-=01 11 01 11 (O)

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Page 30: Bit-level Arithmetic Architecture - KAISTics.kaist.ac.kr/ee877_2015s/A1_Bit-level_arithmetic.pdf · Bit-level Arithmetic Architecture In-Cheol Park ... Examples: X-=01 11 01 11 (O)

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Page 31: Bit-level Arithmetic Architecture - KAISTics.kaist.ac.kr/ee877_2015s/A1_Bit-level_arithmetic.pdf · Bit-level Arithmetic Architecture In-Cheol Park ... Examples: X-=01 11 01 11 (O)

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Page 32: Bit-level Arithmetic Architecture - KAISTics.kaist.ac.kr/ee877_2015s/A1_Bit-level_arithmetic.pdf · Bit-level Arithmetic Architecture In-Cheol Park ... Examples: X-=01 11 01 11 (O)

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Page 33: Bit-level Arithmetic Architecture - KAISTics.kaist.ac.kr/ee877_2015s/A1_Bit-level_arithmetic.pdf · Bit-level Arithmetic Architecture In-Cheol Park ... Examples: X-=01 11 01 11 (O)

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Page 34: Bit-level Arithmetic Architecture - KAISTics.kaist.ac.kr/ee877_2015s/A1_Bit-level_arithmetic.pdf · Bit-level Arithmetic Architecture In-Cheol Park ... Examples: X-=01 11 01 11 (O)

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Page 35: Bit-level Arithmetic Architecture - KAISTics.kaist.ac.kr/ee877_2015s/A1_Bit-level_arithmetic.pdf · Bit-level Arithmetic Architecture In-Cheol Park ... Examples: X-=01 11 01 11 (O)

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Page 36: Bit-level Arithmetic Architecture - KAISTics.kaist.ac.kr/ee877_2015s/A1_Bit-level_arithmetic.pdf · Bit-level Arithmetic Architecture In-Cheol Park ... Examples: X-=01 11 01 11 (O)

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Page 37: Bit-level Arithmetic Architecture - KAISTics.kaist.ac.kr/ee877_2015s/A1_Bit-level_arithmetic.pdf · Bit-level Arithmetic Architecture In-Cheol Park ... Examples: X-=01 11 01 11 (O)

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Page 38: Bit-level Arithmetic Architecture - KAISTics.kaist.ac.kr/ee877_2015s/A1_Bit-level_arithmetic.pdf · Bit-level Arithmetic Architecture In-Cheol Park ... Examples: X-=01 11 01 11 (O)

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Page 39: Bit-level Arithmetic Architecture - KAISTics.kaist.ac.kr/ee877_2015s/A1_Bit-level_arithmetic.pdf · Bit-level Arithmetic Architecture In-Cheol Park ... Examples: X-=01 11 01 11 (O)

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Page 40: Bit-level Arithmetic Architecture - KAISTics.kaist.ac.kr/ee877_2015s/A1_Bit-level_arithmetic.pdf · Bit-level Arithmetic Architecture In-Cheol Park ... Examples: X-=01 11 01 11 (O)

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Page 41: Bit-level Arithmetic Architecture - KAISTics.kaist.ac.kr/ee877_2015s/A1_Bit-level_arithmetic.pdf · Bit-level Arithmetic Architecture In-Cheol Park ... Examples: X-=01 11 01 11 (O)

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Page 42: Bit-level Arithmetic Architecture - KAISTics.kaist.ac.kr/ee877_2015s/A1_Bit-level_arithmetic.pdf · Bit-level Arithmetic Architecture In-Cheol Park ... Examples: X-=01 11 01 11 (O)

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Page 43: Bit-level Arithmetic Architecture - KAISTics.kaist.ac.kr/ee877_2015s/A1_Bit-level_arithmetic.pdf · Bit-level Arithmetic Architecture In-Cheol Park ... Examples: X-=01 11 01 11 (O)

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Page 44: Bit-level Arithmetic Architecture - KAISTics.kaist.ac.kr/ee877_2015s/A1_Bit-level_arithmetic.pdf · Bit-level Arithmetic Architecture In-Cheol Park ... Examples: X-=01 11 01 11 (O)

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7 1 1 11

32 2 4 32

3 1 1

4 2 4

).()2(4

3)1(

32

7)( nunxnxnx

Page 45: Bit-level Arithmetic Architecture - KAISTics.kaist.ac.kr/ee877_2015s/A1_Bit-level_arithmetic.pdf · Bit-level Arithmetic Architecture In-Cheol Park ... Examples: X-=01 11 01 11 (O)

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Page 47: Bit-level Arithmetic Architecture - KAISTics.kaist.ac.kr/ee877_2015s/A1_Bit-level_arithmetic.pdf · Bit-level Arithmetic Architecture In-Cheol Park ... Examples: X-=01 11 01 11 (O)

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