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PowerPointSlides - Systems for Storing Binary Data...

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1 Systems for Storing Binary Data (overview) Understanding binary notation by understanding decimal Binary or base-two Hexadecimal or base-16 Text: American Standard Code for Information Interchange (ASCII) Copyright © 2001 by Stefano M. Stefan
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2 Decimal System (Base Ten) 1,367 is represented as 1 x 1,000 = 1,000 3 x 100 = 300 6 x 10 = 60 7 x 1 = 7 1,000 + 300 + 60 + 7 = 1,367
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3 Binary System (Base Two) Converting from binary to decimal 1011 0011 is represented as 1 x 128 = 128 0 x 64 = 0 1 x 32 = 32 1 x 16 = 16 0 x 8 = 0 0 x 4 = 0 1 x 2 = 2 1 x 1 = 1 128 + 32 + 16 + 2 + 1 = 179 in decimal form
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4 Use of Hexadecimal Notation Represent a binary byte as a hexadecimal character Decimal Binary Hexadecimal 9 1001 9 10 1010 A 11 1011 B 12 1100 C 13 1101 D 14 1110 E 15 1111 F
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5 Use of Hexadecimal Notation (2) Used for convenience: In binary form: 1000 1010 1110 0101 In Hexadecimal form: 8 A E 5 This notation saves space!
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6 Counting in the Binary System 0000 0 0111 7 0001 1 1000 8 0010 2 1001 9 0011 3 1010 10 0100 4 0101 5 0110 6
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7 Types of Binary Notation (overview) Two’s Complement Usually used to represent integers Allows subtraction to be performed as an addition Floating-point Notation Represents fractions Represents wide range, positive and negative
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8 ASCII consists of 8-bit patterns, which are a subset of Unicode, which consists of 16- bit patterns Represent all characters Numerals Letters of alphabet International letters Punctuation
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9 Computer Architecture Central Processing Unit ( CPU ) “Brain” of the computer Parts of a CPU Arithmetic/logic unit ( ALU ): performs data
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PowerPointSlides - Systems for Storing Binary Data...

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