PPT-A history of numbers and some modular arithmetic

Nicole Rosenfeld Different Number systems O ne Two Two and one Two twos Much Put up your hands What would people have done in Rome Dubai Beijing Washington Tokyo. Nikolaj . Bjørner. Microsoft Research. Bit-Precise Constraints: . Applications and . Decision Procedures. Tutorial Contents. Bit-vector decision procedures by categories. Bit-wise operations . Vector Segments. and Circuits. Lecture . 5. Binary Arithmetic. let’s. . look . at the procedures for performing the four basic arithmetic functions: . addition,. subtraction, multiplication, and division. Addition. V. Frederick Rickey. West Point . Ohio . NExT. , 3 March 2009. One day a monk leaves at sunrise to climb a mountain. He walks at a leisurely pace, sometimes stopping to enjoy the view, even retracing his path to look again at a pretty flower. He arrives at the summit at sundown, spends the night meditating, and starts home down the same path the next day at sunrise, arriving home at sunset. . Hakim . Weatherspoon. CS 3410, . Spring . 2012. Computer Science . Cornell University. See: P&H Chapter 2.4 - 2.6, 3.2, C.5 – C.6. Example: Big Picture. Computer System Organization. . and Programming platform from 10 years ago. Hakim Weatherspoon . CS 3410, Spring 2011. Computer Science . Cornell University. See: P&H Chapter 2.4 - 2.6, 3.2, C.5 – C.6. Announcements. Make sure you are. Registered for class. Can access CMS. Lecture 11. Modular arithmetic is arithmetic in which numbers do not continue forever.. Modulo 7 has numbers 0, 1, 2, 3, 4, 5, and 6.. Modulo 5 has numbers 0, 1, 2, 3, and 4.. In general, modulo . n. Factors and Primes. Recursive division algorithm. MA/CSSE 473 . Day 05. Student Questions. One more proof by strong induction. List of review topics I don’t plan to cover in class. Continue Arithmetic Algorithms. D. . R. . Wilton, Dept. of ECE. ECE 6382 . Introduction to . Complex . Variables. David R. Jackson. 1. Fall . 2017. Notes 1 . Some Applications of Complex Variables. 2. Phasor-domain analysis in physics and engineering. CS 3410, Spring 2013. Computer Science. Cornell University. See: P&H Chapter 2.4 - 2.6, 3.2, C.5 – C.6. Big Picture: Building a Processor. PC. imm. memory. target. offset. cmp. control. =?. new . Dr. . Nizamettin AYDIN. naydin. @. yildiz. .edu.tr. nizamettinaydin@gmail.com. http://. www.yildiz. .edu.tr/~naydin. 1. Arithmetic for Computers. 2. 3. Outline. Arithmetic. & . Logic. . Unit. Integer. 2, 4, 6, 8, . …. The . first term in a sequence is denoted as . a. 1. , . the second term is . a. 2. , . and so on up to the nth term . a. n. .. Each number in the list called a . term. .. a. 1. , a. by Brooke Cope and Jennifer Call. What time will the clock show? . It is now 5 o’clock; what time will it be in 2 hours?. What time will it be 5 hours after 9 o’clock?. What is 26 hours after 8 o’clock?. Lecture 11. https://abstrusegoose.com/353. Announcements. Lots of folks sounded concerned about English proofs in sections.. THAT’S NORMAL. English proofs aren’t easy the first few times (or the next few times…sometimes not even after a decade…) . Fall 2011. Sukumar Ghosh. Preamble. Historically, . number theory . has been a beautiful area of . study in . pure mathematics. . However, in modern times, . number theory is very important in the .