tailieunhanh - Lecture Digital logic design - Lecture 2: More number systems/complements

Lecture 2 More number systems/complements. The main contents of the chapter consist of the following: Hexadecimal numbers; related to binary and octal numbers; conversion between hexadecimal, octal and binary; value ranges of numbers; representing positive and negative numbers; creating the complement of a number. | Digital Logic Design Lecture 2 More Number Systems/Complements 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 Overview Hexadecimal numbers Related to binary and octal numbers Conversion between hexadecimal, octal and binary Value ranges of numbers Representing positive and negative numbers Creating the complement of a number Make a positive number negative (and vice versa) Why binary? credential: bring a computer die photo wafer : This can be an hidden slide. I just want to use this to do my own planning. I have rearranged Culler’s lecture slides slightly and add more slides. This covers everything he covers in his first lecture (and more) but may We will save the fun part, “ Levels of Organization,” at the end (so student can stay awake): I will show the internal stricture of the SS10/20. Notes to Patterson: You may want to edit the slides in your section or add extra slides to taylor your needs. Understanding Binary Numbers Binary numbers are made of binary digits (bits): 0 and 1 How many items does an binary number represent? (1011)2 = 1x23 + 0x22 + 1x21 + 1x20 = (11)10 What about fractions? ()2 = 1x22 + 1x21 + 0x20 + 1x2-1 + 0x2-2 Groups of eight bits are called a byte (11001001) 2 Groups of four bits are called a nibble. (1101) 2 credential: bring a computer die photo wafer : This can be an hidden slide. I just want to use this to do my own planning. I have rearranged Culler’s lecture slides slightly and add more slides. This covers everything he covers in his first lecture (and more) but may We will save the fun part, “ Levels of Organization,” . | Digital Logic Design Lecture 2 More Number Systems/Complements 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 Overview Hexadecimal numbers Related to binary and octal numbers Conversion between hexadecimal, octal and binary Value ranges of numbers Representing positive and negative numbers Creating the complement of a number Make a positive number negative (and vice versa) Why binary? credential: bring a computer die photo wafer : This can be an hidden slide. I just want to use this to do my own planning. I have rearranged Culler’s lecture slides slightly and add more slides. .