Transcript Slide 1

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
…
01000001
01000010
…
Why binary numbers?
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)