3.Number.Systems - Number Systems With thanks to Dr Haipeng...

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1 Number Systems With thanks to Dr. Haipeng Guo Lecture 3
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2 Introductory Stuff rhombus6 Have Fun! rhombus6 Please turn off your phones! rhombus6 rhombus6 DO DO interact with me!
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3 Outline rhombus6 Decimal Number System rhombus6 Binary Number System rhombus6 Hexadecimal Number System rhombus6 Positional Numbering System rhombus6 Conversions Between Number Systems rhombus6 Conversions Between Power-of-Two Radices rhombus6 Bits, Bytes, and Words rhombus6 Basic Arithmetic Operations with Binary Numbers
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4 Natural Numbers rhombus6 Natural numbers square6 Zero and any number obtained by repeatedly adding one to it rhombus6 Negative Numbers square6 A value less than 0, with a – sign rhombus6 Integers square6 A natural number, a negative number, zero rhombus6 Rational Numbers square6 An integer or the quotient of two integers rhombus6 We will only discuss the binary representation of non-negative integers
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5 Decimal Number System rhombus6 A human usually has four fingers and a thumb on each hand, giving a total of ten digits over both hands rhombus6 10 digits: square6 0,1,2,3,4,5,6,7,8,9 rhombus6 Also called base-10 number system, square6 Or Hindu-Arabic , or Arabic system rhombus6 Counting in base-10 square6 1,2,…,9,10,11,…,19,20,21,…,99,100,… rhombus6 Decimal number in expanded notation square6 234 = 2 * 100 + 3 * 10 + 4 * 1
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6 Binary Number System rhombus6 Binary number system has only two digits square6 0, 1 square6 Also called base-2 system rhombus6 Counting in binary system square6 0, 1, 10, 11, 100, 101, 110, 111, 1000,….
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