BME303_lecture3_1 - BME303 Intro. to Computing Chapter 2...

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BME303 Intro. to Computing Chapter 2 Bits, Data Types, and Operations
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BME303 Intro. to Computing 2 Outline • Analog vs. Digital • Bit • Numbering systems • Data types
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BME303 Intro. to Computing 3 Analog vs. Digital Modern computers are digital devices V(t) time V(t) time Analog Digital v H (t) v L (t)
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BME303 Intro. to Computing 4 Bit (b inary digit ) A collection of “light bulb” can represent a series of those two states. e.g. 8 light bulb can represent the following: 01001101 11100101 Computers use electronic to represent 0 & 1 and the binary numbering system V(t) time v H (t)=2.9 v L (t)=0 1 – presence of a voltage 0 – no voltage present
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BME303 Intro. to Computing 5 Numbering systems Binary (0 and 1, also known as “base two”, uses two digits) Decimal (arabic, 0,1,2,3,4,5,6,7,8,9, uses ten digits) Hexadecimal (0,1,…,8,9,A,B,C,D,E,F, uses sixteen digits) The highest digit in base N is N-1 the highest single digit in base ten is 9 the highest single digit in base two is 1 the highest single “digit” in hexadecimal system is “F” In all number systems zero is first digit
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BME303 Intro. to Computing 6 Numbering Systems Decimal Hex (Hexadecimal) Binary 0 1 2 3 4 5 6 7 8 9 • Decimal – base 10 • Hex – base 16 • Binary – base 2
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BME303 Intro. to Computing 7 Numbering Systems Decimal Hex (Hexadecimal) Binary 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 • Decimal – base 10 • Hex – base 16 • Binary – base 2
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BME303 Intro. to Computing 8 Numbering Systems Decimal Hex (Hexadecimal) Binary 0 0 1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 11 12 13 14 15 16 • Decimal – base 10 • Hex – base 16 • Binary – base 2
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BME303 Intro. to Computing 9 Numbering Systems Decimal Hex (Hexadecimal) Binary 0 0 1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 A 11 B 12 C 13 D 14 E 15 F 16 • Decimal – base 10 • Hex – base 16 • Binary – base 2
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BME303 Intro. to Computing 10 Numbering Systems Decimal Hex (Hexadecimal) Binary 0 0 1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 A 11 B 12 C 13 D 14 E 15 F 16 10 • Decimal – base 10 • Hex – base 16 • Binary – base 2
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BME303 Intro. to Computing 11 Numbering Systems Decimal Hex (Hexadecimal) Binary 0 0 0 1 1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 A 11 B 12 C 13 D 14 E 15 F 16 10 • Decimal – base 10 • Hex – base 16 • Binary – base 2
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BME303 Intro. to Computing 12 Numbering Systems Decimal Hex (Hexadecimal) Binary 0 0 0 1 1 1 2 2 10 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 A 11 B 12 C 13 D 14 E 15 F 16 10 • Decimal – base 10 • Hex – base 16 • Binary – base 2
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BME303 Intro. to Computing 13 Numbering Systems Decimal Hex (Hexadecimal) Binary 0 0 0 1 1 1 2 2 10 3 3 11 4 4 5 5 6 6 7 7 8 8 9 9 10 A 11 B 12 C 13 D 14 E 15 F 16 10 • Decimal – base 10 • Hex – base 16 • Binary – base 2
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BME303 Intro. to Computing 14 Numbering Systems Decimal Hex (Hexadecimal) Binary 0 0 0 1 1 1 2 2 10 3 3 11 4 4 100 5 5 101 6 6
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This note was uploaded on 01/24/2010 for the course BME 303 taught by Professor Ren during the Fall '08 term at University of Texas at Austin.

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BME303_lecture3_1 - BME303 Intro. to Computing Chapter 2...

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