BME303_lecture3 - BME303 Intro. to Computing Chapter 2...

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Unformatted text preview: BME303 Intro. to Computing Chapter 2 Bits, Data Types, and Operations BME303 Intro. to Computing Outline Analog vs. Digital Bit Numbering systems 3 Data types BME303 Intro. to Computing Analog vs. Digital Modern computers are digital devices Analog Digital 4 V(t) time V(t) time v H (t) v L (t) BME303 Intro. to Computing Bit (b inary digit ) V(t) me v H (t)=2.9 v L (t)=0 1 presence of a voltage 0 no voltage present 5 A single wire can only represent 2 states (0&1) A collection of wires can represent a series of those two states. e.g. 8 wires can represent the following: 01001101 11100101 This allows computer to use the binary numbering system time BME303 Intro. to Computing 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) 6 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 BME303 Intro. to Computing Numbering Systems Decimal Hex (Hexadecimal) Binary 1 2 3 4 5 Decimal base 10 Hex base 16 Binary base 2 7 6 7 8 9 BME303 Intro. to Computing Numbering Systems Decimal Hex (Hexadecimal) Binary 1 2 3 4 5 Decimal base 10 Hex base 16 Binary base 2 8 6 7 8 9 10 11 12 13 14 15 16 BME303 Intro. to Computing Numbering Systems Decimal Hex (Hexadecimal) Binary 1 1 2 2 3 3 4 4 5 5 Decimal base 10 Hex base 16 Binary base 2 9 6 6 7 7 8 8 9 9 10 11 12 13 14 15 16 BME303 Intro. to Computing Numbering Systems Decimal Hex (Hexadecimal) Binary 1 1 2 2 3 3 4 4 5 5 Decimal base 10 Hex base 16 Binary base 2 10 6 6 7 7 8 8 9 9 10 A 11 B 12 C 13 D 14 E 15 F 16 BME303 Intro. to Computing Numbering Systems Decimal Hex (Hexadecimal) Binary 1 1 2 2 3 3 4 4 5 5 Decimal base 10 Hex base 16 Binary base 2 11 6 6 7 7 8 8 9 9 10 A 11 B 12 C 13 D 14 E 15 F 16 10 BME303 Intro. to Computing Numbering Systems Decimal Hex (Hexadecimal) Binary 1 1 1 2 2 3 3 4 4 5 5 Decimal base 10 Hex base 16 Binary base 2 12 6 6 7 7 8 8 9 9 10 A 11 B 12 C 13 D 14 E 15 F 16 10 BME303 Intro. to Computing Numbering Systems Decimal Hex (Hexadecimal) Binary 1 1 1 2 2 10 3 3 4 4 5 5 Decimal base 10 Hex base 16 Binary base 2 13 6 6 7 7 8 8 9 9 10 A 11 B 12 C 13 D 14 E 15 F 16 10 BME303 Intro. to Computing Numbering Systems Decimal Hex (Hexadecimal) Binary 1 1 1 2 2 10 3 3 11 4 4 5 5 Decimal base 10 Hex base 16 Binary base 2 14 6 6 7 7 8 8 9 9 10 A 11 B 12 C 13 D 14 E 15 F 16 10 BME303 Intro. to Computing Numbering Systems Decimal Hex (Hexadecimal) Binary 1 1 1 2 2 10 3 3 11 4 4 100 5 5 101 Decimal base 10 Hex base 16...
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BME303_lecture3 - BME303 Intro. to Computing Chapter 2...

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