CS1313 Bit Representation Lesson CS1313 010 Fall 2013 cs1313位表示的教训 CS 1313 010下降2013.pptVIP

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CS1313 Bit Representation Lesson CS1313 010 Fall 2013 cs1313位表示的教训 CS 1313 010下降2013.ppt

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CS1313 Bit Representation Lesson CS1313 010 Fall 2013 cs1313位表示的教训 CS 1313 010下降2013

OU Supercomputing Center for Education Research Bit Representation Outline Bit Representation Outline How Are Integers Represented in Memory? Decimal Number Representation (Base 10) Decimal (Base 10) Breakdown Nonal Number Representation (Base 9) Nonal (Base 9) Breakdown Octal Number Representation (Base 8) Octal (Base 8) Breakdown Trinary Number Representation (Base 3) Trinary (Base 3) Breakdown How Are Integers Represented in Memory? In computers, all data are represented as contiguous sequences of bits. An integer is represented as a sequence of 8, 16, 32 or 64 bits. For example: What does this mean??? Decimal Number Representation (Base 10) In the decimal number system (base 10), we have 10 digits: 0 1 2 3 4 5 6 7 8 9 We refer to these as the Arabic digits. For details, see /archive/numerals.html Decimal (Base 10) Breakdown Nonal Number Representation (Base 9) In the nonal number system (base 9), we have 9 digits: 0 1 2 3 4 5 6 7 8 NOTE: No one uses nonal in real life; this is just an example. Nonal (Base 9) Breakdown Octal Number Representation (Base 8) In the octal number system (base 8), we have 8 digits: 0 1 2 3 4 5 6 7 NOTE: Some computer scientists used to use octal in real life, but it has mostly fallen out of favor, because it’s been supplanted by base 16 (hexadecimal). Octal does show up a little bit in C character strings, which we’ll learn about soon. Octal (Base 8) Breakdown Trinary Number Representation (Base 3) In the trinary number system (base 3), we have 3 digits: 0 1 2 NOTE: No one uses trinary in real life; this is just an example. Trinary (Base 3) Breakdown Binary Number Representation (Base 2) In the binary number system (base 2), we have 2 digits: 0 1 This is the number system that computers use internally. Binary (Base 2) Breakdown Conversion Counting in Decimal (Base 10) In base 10, we count like so: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, ... 91, 92, 93, 94, 9