Logic Design Logic design deals with the basic concepts and tools used to design digital hardware consisting of logic circuits Digital devices: airbags,

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Logic Design Logic design deals with the basic concepts and tools used to design digital hardware consisting of logic circuits Digital devices: airbags, auto-focus cameras, aircraft navigators, cell phones, credit card readers, digital cameras, DVD players, personal computers, portable music players, …

Digital vs. Analog Digital signal at any time can have one of a finite set of possible values Analog signal can have one of an infinite number of possible values

Benefits of Digital Reliable storage (CD, DVD, …) Compression (MP3, JPEG, …) Reliable transmission (cell phones, digital TVs, …) Conversion from Analog to Digital Technology

Digital Encodings and Binary Numbers We can represent any digital data using only binary digits (0 and 1), or bits. ASCII encoding: A B … … Base ten: decimal numbers (0,1,2,3,4,5,6,7,8,9) Base two: binary numbers (0,1) Base eight: octal numbers (0,1,2,3,4,5,6,7) Base sixteen: hexadecimal numbers (0,1,2,3,4,5,6,7,8,9,A,B,C,D,E,F) Why binary numbers?