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Chap2 - Chapter 2 Bits Data Types Operations Our first...

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Chapter 2 Chapter 2 Bits, Data Types & Operations
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Data types Data types Our first requirement is to find a way to represent  information (data) in a form that is understood by  both human and machine. We need to represent the following data: Numbers. Text. Image. Videos. We will start by examining different ways of representing  integers and look for a form that suits the computer.
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Decimal Numbers Decimal Numbers “decimal” means that we have ten  digits to use in  our representation (the symbols  0 through 9) What is 3,546? it is  three  thousands  plus  five  hundreds  plus  four  tens  plus  six  ones . i.e. 3,546 = 3.10 3  + 5.10 2  + 4.10 1  + 6.10 0 How about negative numbers? we use two more symbols  to distinguish positive and negative:     +  and  -
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Binary Numbers  Binary Numbers  Devices react to the voltage. We represent the presence of voltage by 1 and  absence of voltage by 0. 0 & 1 is referred as bit – binary digit.
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Unsigned Binary Integers Unsigned Binary Integers 00000100 00100 100 4 00000011 00011 011 3 00000010 00010 010 2 00000001 00001 001 1 00000000 00000 000 0 8-bits 5-bits 3-bits Y = “abc” = a.2 + b.2 1  + c.2 0 N = number of bits Range is:   i  < 2 N  - 1 (where the digits a, b, c can each take on the values of 0 or 1 only) Problem: How do we represent  negative  numbers?
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