PPT-ARITHMETIC IN C

1    Arithmetic in C Most C programs perform calculations using the C arithmetic operators Fig 29 Note the use of various special symbols not used in algebra The asterisk . This number representation uses 4 bits to store each digit from 0 to 9 For example 1999 10 0001 1001 1001 1001 in BCD BCD wastes storage space since 4 bits are used to store 10 combinations rather than the maximum possible 16 BCD is often used in b 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. 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. The Divisor function . The . divisor function . . counts the number of divisors of an integer . . . Dirichlet. divisor problem:. Determine the asymptotic behaviour as . of the sum. . This is a count of lattice points under the hyperbola . . Daniel . Kroening. and . Ofer. . Strichman. Decision Procedure. . Decision procedures. Decision procedures which we learnt... SAT Solver. BDDs. Decision procedure for equality logic. …. However, what kind of logic do we need to express bit-wise operations and bit-wise arithmetic?. Garbling Circuits. Based on joint works with. Yuval . Ishai. . Eyal. . Kushilevitz. Brent Waters. University of Texas. Technion. Technion. . Benny . Applebaum. Tel Aviv University. Garbled Circuit. 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, …. 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. +. Garbling Circuits. Based on joint works with. Yuval . Ishai. . Eyal. . Kushilevitz. Brent Waters. University of Texas. Technion. Technion. . Benny . Applebaum. Tel Aviv University. Garbled Circuit Construction. 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. 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. Ben Braun, Joe Rogers. The University of Texas at Austin. November 28, 2012. Why primitive recursive arithmetic?. Primitive recursive arithmetic is consistent.. Many functions over natural numbers are primitive recursive:. 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. & 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!.