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tutorial1 - ERG2020A Tutorial 1 Course Introduction Number...

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    ERG2020A Tutorial 1 Course Introduction Number System Lab Introduction
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    Course Introduction Lecturer: Prof. Lee Kin Hong (khlee) @ SHB 1017 Tutors: Zhang Yubin, Robin (ybzhang) @ SHB 506 Wang Jinfeng, Phoenix (jfwang) @ SHB 115 Tang Wai Chung, Matthew (wctang) @ SHB 506 Lin Zhenjiang, Allen (zjlin) @ SHB 101
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    Course Introduction Course webpage http://www.cse.cuhk.edu.hk/~erg2020a Course newsgroup cuhk.cse.erg2020a Please check the webpage and newsgroup daily (or more frequent)!
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    Number System With different base, the value would be different even they have the same digits (1100) 2 = (12) 10 (1100) 8 = (576) 10 (1100) 16 = (4352) 10 To avoid confusion, the radix/base must be clearly specified
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    Number System Positional notation Base b ( a n -1 a n -2 a 0 . a -1 a -2 a - m ) b Polynomial notation (expansion in base 10) a n -1 b n -1 + a n -2 b n -2 + … + a 0 b 0 + … + a - m b - m For example: 29.25 10 = 2×10 1 + 9×10 0 + 2×10 -1 + 5×10 -2 1101.01 2 = 1×2 3 + 1×2 2 + 0×2 1 + 1×2 0 + 0×2 -1 + 1×2 -2
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    Base Conversion 10 2, 8, 16 non-10 polynomial notations short div. & mult. bit grouping
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    Base Conversion  Non-10 to 10 Rule: Base- b → polynomial notation → base-10 For example: A3C 16 = A×16 2 + 3×16 1 + C×16 0 (in base-10) = 10×16 2 + 3×16 1
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