TAILIEUCHUNG - Lecture Digital logic design - Lecture 1: Number systems

The main contents of the chapter consist of the following: Binary numbers are made of binary digits (bits); binary and octal number systems; conversion between number systems; addition, subtraction, and multiplication in binary. | Digital Logic Design EEE241 Sajjad Ali Mushtaq sajjad@ Give qualifications of instructors: DAP teaching computer architecture at Berkeley since 1977 Co-athor of textbook used in class Best known for being one of pioneers of RISC currently author of article on future of microprocessors in SciAm Sept 1995 RY took 152 as student, TAed 152,instructor in 152 undergrad and grad work at Berkeley joined NextGen to design fact 80x86 microprocessors one of architects of UltraSPARC fastest SPARC mper shipping this Fall Digital Logic Design Digital Concerned with the interconnection among digital components and modules Best Digital System example is General Purpose Computer Logic Design Deals with the basic concepts and tools used to design digital hardware consisting of logic circuits Circuits to perform arithmetic operations (+, -, x, ÷) Digital Signals Decimal values are difficult to represent in electrical systems. It is easier to use two voltage values than ten. Digital Signals have two basic states: 1 (logic “high”, or H, or “on”) 0 (logic “low”, or L, or “off”) Digital values are in a binary format. Binary means 2 states. A good example of binary is a light (only on or off) on off Power switches have labels “1” for on and “0” for off. Digital Logic Design Bits and Pieces of DLD History George Boole Mathematical Analysis of Logic (1847) An Investigation of Laws of Thoughts; Mathematical Theories of Logic and Probabilities (1854) Claude Shannon Rediscovered the Boole “ A Symbolic Analysis of Relay and Switching Circuits “ Boolean Logic and Boolean Algebra were Applied to Digital Circuitry ---------- Beginning of the Digital Age and/or Computer Age World War II Computers as Calculating Machines Arlington (State Machines) “ Control “ Motivation Microprocessors/Microelectronics have revolutionized our world Cell phones, internet, rapid advances in medicine, etc. The semiconductor industry has grown tremendously Objectives Number System, .

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