L8-digitallogic-2009 - Introduction to Digital Logic and...

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1 Introduction to Digital Logic Introduction to Digital Logic and Devices and Devices Trac D. Tran ECE Department The Johns Hopkins University Baltimore, MD 21218 Outline Outline ± Analog versus digital representations ± Binary number: representation and conversion ± Logic variables, operations, and truth tables ± Combinational logic gates ² Inverter ² AND gate ² OR gate ² NAND, NOR, XOR gate
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2 Robustness of Digital Representation Robustness of Digital Representation Binary Number Representation Binary Number Representation ± Decimal system ² Base 10 ² Use ten symbols to represent numbers: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 ² Example: 137 = 1 x 100 + 3 x 10 + 7 ± Binary system ² Base 2 ² Use only two symbols to represent numbers: 0 and 1 ² Bit = a single binary digit ( 1 or 0 ). Byte = 8 bits ² Logic variable 1 / 0 : true/false, high/low, on/off, closed/open, yes/no
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3 Binary in History Binary in History Yin-Yang Emblem Pa Kua: Eight Trigrams ± Binary exists for thousand of years in ancient Chinese history: yin-yang 8 trigrams 64 hexagrams ± G. Leibniz, 1679: formal development of the system of binary arithmetic G. Leibniz (1646-1716) Decimal Decimal -Binary Conversion I Binary Conversion I ± Divide the decimal number
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This note was uploaded on 02/02/2010 for the course ENGINEERIN 520.101 taught by Professor Tracdtran during the Winter '06 term at Johns Hopkins.

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L8-digitallogic-2009 - Introduction to Digital Logic and...

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