tailieunhanh - Lecture Digital logic design - Lecture 6: More logic functions: NAND, NOR, XOR and XNOR

The main contents of the chapter consist of the following: More 2-input logic gates (NAND, NOR, XOR); extensions to 3-input gates; converting between sum-of-products and NANDs; converting between sum-of-products and NORs; positive and negative logic. | Lecture 6 More Logic Functions: NAND, NOR, XOR and XNOR 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 More 2-input logic gates (NAND, NOR, XOR) Extensions to 3-input gates Converting between sum-of-products and NANDs SOP to NANDs NANDs to SOP Converting between sum-of-products and NORs SOP to NORs NORs to SOP Positive and negative logic We use primarily positive logic in this course. 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. Logic functions of N variables Each truth table represents one possible function (. AND, OR) If there are N inputs, there are 22N For example, is N is 2 then there are 16 possible truth tables. So far, we have defined 2 of these functions 14 more are possible. Why consider new functions? Cheaper hardware, more flexibility. x 0 0 1 1 y 0 1 0 1 G 0 0 0 1 Logic functions of 2 variables Truth table - Wikipedia, The NAND Gate This is a NAND gate. It is a combination of an AND gate followed by an inverter. Its truth table shows this NAND gates have several interesting properties NAND(a,a)=(aa)’ = a’ = NOT(a) NAND’(a,b)=(ab)’’ = ab = AND(a,b) . | Lecture 6 More Logic Functions: NAND, NOR, XOR and XNOR 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 More 2-input logic gates (NAND, NOR, XOR) Extensions to 3-input gates Converting between sum-of-products and NANDs SOP to NANDs NANDs to SOP Converting between sum-of-products and NORs SOP to NORs NORs to SOP Positive and negative logic We use primarily positive logic in this course. 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 .

• Điện - Điện tử
• More logic functions
• Number systems
• Digital logic design
• Lecture Digital logic design
• Digital design
• Digital logic
• Digital system
• Boolean algebra
• Karnaugh maps
• Sequential circuits
• Flip flops
• Sequential circuits analysis
• Sequential circuit analysis
• Shift registers
• Finite state machine design procedure
• Synchronous counters
• Timing analysis
• Random access memory
• Datapath analysis
• More Sequential Circuits Analysis
• Complement of numbers
• Binary coded decimal
• More boolean algebra
• Design procedures
• Binary number
• Binary adders
• Magnitude comparators
• Binary decoders
• Binary encoders
• Three state gates