PPT-Lecture 12: Computer Arithmetic

Todays topic Numerical representations Addition Subtraction Multiplication Division 1 2 2s Complement 0000 0000 0000 0000 0000 0000 0000 0000 two 0 ten 0000 0000 0000 0000 0000 0000 0000 0001. By Jess Barak, Lindsay Mullen, Ashley Reynolds, and Abby . Yinger. The concept of unique factorization stretches right back to Greek arithmetic and yet it plays an important role in modern commutative ring theory. Basically, unique factorization consists of two properties: existence and uniqueness. Existence means that an element is representable as a finite product of . Categories of Errors. Syntax. . errors. are detected at compile time. Use the Error List window to find these errors. The debugging tools cannot help with syntax errors. Runtime. . errors. occur as an application executes. What’s a Computer?. Characteristics of a Computer. Evolution of Computers. Generations of Computers. Classification of Computers. Block Diagram. Internal Communications. Input Devices. Output Devices. An introduction…………. Arithmetic Sequences. ADD. To get next term. Geometric Sequences. MULTIPLY. To get next term. Arithmetic Series. Sum of Terms. Geometric Series. Sum of Terms. Find the next four terms of –9, -2, 5, …. Section 8.2 beginning on page 417. Identifying Arithmetic Sequences. In an . arithmetic sequence. , the difference of consecutive terms is constant. This constant difference Is called . common difference. CSE 2541. Rong. Shi. Pointer definition. A variable whose value . refers directly to (or "points to") another value stored elsewhere in the computer memory using its . address. Memory addresses. Z. +. Categories of Errors. Syntax. . errors. are detected at compile time. Use the Error List window to find these errors. The debugging tools cannot help with syntax errors. Runtime. . errors. occur as an application executes. Dmitriy. . Kovalev. , Sergey . Krendelev. Novosibirsk State University. Russia. Information transmission. Oriented line segment. Point on a segment. Length from the beginning till point is information – measurement process gives this information. Sequential Circuits. Ralph Grishman. September 2015. NYU. Time and Frequency. time = 1 / frequency. frequency = 1 / time. units of time. millisecond = 10. -3. second. microsecond = 10. -6. second. nanosecond = 10. 4. 3. 2. 1. 0. In addition to level 3.0 and above and beyond what was taught in class,  the student may:. · Make connection with other concepts in math. · Make connection with other content areas.. Arithmetic Sequences. An arithmetic sequence is a sequence in which each term after the first differs from the preceding term by a constant amount.. The difference between consecutive terms is called the . th. term of an arithmetic sequence, find the partial sum of an arithmetic series, as evidenced by completion . of “I have…who has…”.. 12. 1 Arithmetic Sequences and Series. Arithmetic Sequences. 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. & Series. Story Time…. When another famous mathematician was in first grade, his teacher asked the class to add up the numbers one through a hundred (1+2+3 etc., all the way up to 100). . Write out the teacher’s request in summation notation, then find the answer (no calculators!) Try to figure out an efficient way!.